Sections
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UHLMANN, Gunther
(PhD Massachusetts Inst of Tech)
Phone: (852) 3469 2460Email: gunther@ust.hk
Office: IAS 4010
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Chair Professor / IAS Si Yuan Professor
Research Interests
Inverse Problems and Imaging, Partial Differential Equations, Microlocal Analysis, Scattering TheoryAwards & Honors
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2021 Birkhoff Prize in Applied Mathematics
(2021)
Selected Publications
Article
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Recovery of Coefficients in Semilinear Transport Equations
- Author(s): Lai, Ru-Yu; Uhlmann, Gunther Alberto Arancibia; Zhou, Hanming
- Source: Archive for Rational Mechanics and Analysis, v. 248, (4), August 2024, article number 62
- Year: 2024
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INVERSE PROBLEMS FOR REAL PRINCIPAL TYPE OPERATORS
- Author(s): Oksanen, Lauri; Salo, Mikko; Stefanov, Plamen; Uhlmann, Gunther Alberto Arancibia
- Source: American Journal of Mathematics, v. 146, (1), February 2024, p. 161-240
- Year: 2024
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THE ANISOTROPIC CALDERON PROBLEM FOR HIGH FIXED FREQUENCY
- Author(s): Uhlmann, Gunther Alberto Arancibia; Wang, Yiran
- Source: SIAM Journal on Mathematical Analysis, v. 56, (3), June 2024, p. 4084-4103
- Year: 2024
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A REMARK ON INVERSE PROBLEMS FOR NONLINEAR MAGNETIC SCHRÖDINGER EQUATIONS ON COMPLEX MANIFOLDS
- Author(s): Krupchyk, Katya; Uhlmann, Gunther Alberto Arancibia; Yan, Lili
- Source: Proceedings of the American Mathematical Society, v. 152, (6), June 2024, p. 2413-2422
- Year: 2024
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Determination of the density in a nonlinear elastic wave equation
- Author(s): Uhlmann, Gunther; Zhai, Jian
- Source: Mathematische Annalen, March 2024
- Year: 2024
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An Inverse Problem for he Porous Medium Equation with Partial Data and a Possibly Singular Absorption Term
- Author(s): Cârstea, Cătălin; Ghosh, Tuhin; Uhlmann, Gunther
- Source: SIAM Journal on Mathematical Analysis, v. 55, (1), February 2023, p. 162-185
- Year: 2023
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Recovery of Black Hole Mass from a Single Quasinormal Mode
- Author(s): Uhlmann, Gunther; Wang, Yiran
- Source: Communications in Mathematical Physics, v. 401, (1), July 2023, p. 925-936
- Year: 2023
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Partial data inverse problems for quasilinear conductivity equations
- Author(s): Kian, Yavar; Krupchyk, Katya; Uhlmann, Gunther Alberto Arancibia
- Source: Mathematische Annalen, v. 385, (3-4), April 2023, p. 1611-1638
- Year: 2023
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Recovery of Nonlinear Terms for Reaction Diffusion Equations from Boundary Measurements
- Author(s): Kian, Yavar; Uhlmann, Gunther Alberto Arancibia
- Source: Archive for Rational Mechanics and Analysis, v. 247, (1), January 2023, article number 6
- Year: 2023
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Inverse scattering for critical semilinear wave equations
- Author(s): Barreto, Antônio Sá; Uhlmann, Gunther; Wang, Yiran
- Source: Pure and Applied Analysis, v. 4, (2), October 2022, p. 191-223
- Year: 2022
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Recovery of Piecewise Smooth Density and Lame Parameters from High Frequency Exterior Cauchy Data
- Author(s): Bhattacharyya, Sombuddha; De Hoop, Maarten V.; Katsnelson, Vitaly; Uhlmann, Gunther Alberto Arancibia
- Source: SIAM Journal on Imaging Sciences, v. 15, (4), December 2022, p. 1910-1943
- Year: 2022
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The higher order fractional Calderón problem for linear local operators: Uniqueness
- Author(s): Covi, Giovanni; Mönkkönen, Keijo; Railo, Jesse; Uhlmann, Gunther
- Source: Advances in Mathematics, v. 399, 16 April 2022, article number 108246
- Year: 2022
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The Dirichlet-to-Neumann Map for a Semilinear Wave Equation on Lorentzian Manifolds
- Author(s): Hintz, Peter; Uhlmann, Gunther Alberto Arancibia; Zhai, Jian
- Source: Communications in Partial Differential Equations, v. 47, (12), December 2022, p. 2363-2400
- Year: 2022
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Single Pixel X-ray Transform and Related Inverse Problems
- Author(s): Lai, Ru-Yu; Uhlmann, Gunther; Zhai, Jian; Zhou, Hanming
- Source: SIAM Journal on Imaging Sciences, v. 15, (4), 2022, p. 1894-1909
- Year: 2022
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Inverse problem for Einstein-scalar field equations
- Author(s): Kurylev, Yaroslav; Lassas, Matti; Oksanen, Lauri; Uhlmann, Gunther Alberto Arancibia
- Source: Duke Mathematical Journal, v. 171, (16), November 2022, p. 3215-3282
- Year: 2022
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An Inverse Boundary Value Problem for a Semilinear Wave Equation on Lorentzian Manifolds
- Author(s): Hintz, Peter; Uhlmann, Gunther Alberto Arancibia; Zhai, Jian
- Source: International Mathematics Research Notices, v. 2022, (17), August 2022, article number rnab088, p. 13181-13211
- Year: 2022
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On the scientific work of Victor Isakov
- Author(s): Krupchyk, Katya; Salo, Mikko; Uhlmann, Gunther Alberto Arancibia; Wang, Jenn-Nan
- Source: Inverse Problems and Imaging, v. 16, (6), December 2022, p. 1429-1445
- Year: 2022
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An inverse problem for a quasilinear convection–diffusion equation
- Author(s): Feizmohammadi, Ali; Kian, Yavar; Uhlmann, Gunther Alberto Arancibia
- Source: Nonlinear Analysis, v. 222, September 2022, article number 112921
- Year: 2022
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NONLINEAR ULTRASOUND IMAGING MODELED BY A WESTERVELT EQUATION
- Author(s): Acosta, Sebastian; Uhlmann, Gunther Alberto Arancibia; Zhai, Jian
- Source: SIAM Journal on Applied Mathematics, v. 82, (2), 14 March 2022, p. 408-426
- Year: 2022
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The Transmission Problem in Linear Isotropic Elasticity
- Author(s): Stefanov, Plamen; Uhlmann, Gunther Alberto Arancibia; Vasy, András
- Source: Pure and Applied Analysis, v. 3, (1), May 2021, p. 109-161
- Year: 2021
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Generic uniqueness and stability for the mixed ray transform
- Author(s): De Hoop, Maarten V.; Saksala, Teemu; Uhlmann, Gunther Alberto Arancibia; Zhai, Jian
- Source: Transactions of the American Mathematical Society, v. 374, (9), September 2021, p. 6085-6144
- Year: 2021
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Local and global boundary rigidity and the geodesic X-ray transform in the norma gauge
- Author(s): Stefanov, Plamen; Uhlmann, Gunther Alberto Arancibia; Vasy, Andras
- Source: Annals of Mathematics, v. 194, (1), July 2021, p. 1-95
- Year: 2021
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Travel Time Tomography in Stationary Spacetimes
- Author(s): Uhlmann, Gunther Alberto Arancibia; Yang, Yang; Zhou, Hanming
- Source: Journal of Geometric Analysis, 23 February 2021
- Year: 2021
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Reconstruction in the Calderón problem on conformally transversally anisotropic manifolds
- Author(s): Feizmohammadi, Ali; Krupchyk, Katya; Oksanen, Lauri; Uhlmann, Gunther Alberto Arancibia
- Source: Journal of Functional Analysis, v. 281, (9), November 2021, article number 109191
- Year: 2021
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Reconstruction of the collision kernel in the nonlinear Boltzmann equation
- Author(s): Lai, Ru-Yu; Uhlmann, Gunther Alberto Arancibia; Yang, Yang
- Source: SIAM Journal on Mathematical Analysis, v. 53, (1), February 2021, p. 1049-1069
- Year: 2021
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The Calderón Inverse Problem for Isotropic Quasilinear Conductivities
- Author(s): Cârstea, Cătălin I.; Feizmohammadi, Ali; Kian, Yavar; Krupchyk, Katya; Uhlmann, Gunther Alberto Arancibia
- Source: Advances In Mathematics, v. 391, 19 November 2021, article number 107956
- Year: 2021
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Inverse problems for the fractional-Laplacian with lower order non-local perturbations
- Author(s): Bhattacharyya, Sombuddha; Ghosh, Tuhin; Uhlmann, Gunther Alberto Arancibia
- Source: Transactions of the American Mathematical Society, v. 374, (5), May 2021, p. 3053-3075
- Year: 2021
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On an inverse boundary value problem for a nonlinear elastic wave equation
- Author(s): Uhlmann, Gunther Alberto Arancibia; Zhai, Jian
- Source: Journal des Mathematiques Pures et Appliquees, v. 153, September 2021, p. 114-136
- Year: 2021
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Optimality of increasing stability for an inverse boundary value problem
- Author(s): Kow, Pu-Zhao; Uhlmann, Gunther Alberto Arancibia; Wang, Jenn-Nan
- Source: SIAM Journal on Mathematical Analysis, v. 53, (6), December 2021, p. 7062-7080
- Year: 2021
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Determination of Space-Time Structures from Gravitational Perturbations
- Author(s): Uhlmann, Gunther Alberto Arancibia; Wang, Yiran
- Source: Communications on Pure and Applied Mathematics, v. 73, (6), June 2020, p. 1315-1367
- Year: 2020
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Recovery of discontinuous Lamé parameters from exterior Cauchy data
- Author(s): Caday, Peter; de Hoop, Maarten V.; Katsnelson, Vitaly; Uhlmann, Gunther Alberto Arancibia
- Source: Communications in Partial Differential Equations, January 2021
- Year: 2020
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The Calderón problem for the fractional Schrödinger equation
- Author(s): Ghosh, Tuhin; Salo, Mikko; Uhlmann, Gunther
- Source: Analysis and PDE, v. 13, (2), 2020, p. 455-475
- Year: 2020
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Partial data inverse problems for semilinear elliptic equations with gradient nonlinearities
- Author(s): Krupchyk, Katya; Uhlmann, Gunther Alberto Arancibia
- Source: Mathematical Research Letters, v. 27, (6), 2020, p. 1801-1824
- Year: 2020
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Recovery of Material Parameters in Transversely Isotropic Media
- Author(s): de Hoop, Maarten V.; Uhlmann, Gunther Alberto Arancibia; Vasy, András
- Source: Archive for Rational Mechanics and Analysis, v. 235, (1), January 2020, p. 141-165
- Year: 2020
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Convolutional neural networks in phase space and inverse problems
- Author(s): Uhlmann, Gunther Alberto Arancibia; Wang, Yiran
- Source: SIAM Journal on Applied Mathematics, v. 80, (6), December 2020, p. 2560-2585
- Year: 2020
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Nonlinear interaction of waves in elastodynamics and an inverse problem
- Author(s): De Hoop, Maarten; Uhlmann, Gunther Alberto Arancibia; Wang, Yiran
- Source: Mathematische Annalen, v. 376, (1-2), February 2020, p. 765-795
- Year: 2020
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The Light Ray Transform on Lorentzian Manifolds
- Author(s): Lassas, Matti; Oksanen, Lauri; Stefanov, Plamen; Uhlmann, Gunther Alberto Arancibia
- Source: Communications in Mathematical Physics, 2020
- Year: 2020
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Uniqueness and reconstruction for the fractional Calderón problem with a single measurement
- Author(s): Ghosh, Tuhin; Rüland, Angkana; Salo, Mikko; Uhlmann, Gunther Alberto Arancibia
- Source: Journal of Functional Analysis, v. 279, (1), July 2020, article number 108505
- Year: 2020
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A remark on partial data inverse problems for semilinear elliptic equations
- Author(s): Krupchyk, Katya; Uhlmann, Gunther Alberto Arancibia
- Source: Proceedings of the American Mathematical Society, v. 148, (2), February 2020, p. 681-685
- Year: 2020
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Inverse Problems for Nonlinear Hyperbolic Equations
- Author(s): Uhlmann, Gunther Alberto Arancibia; Zhai, Jian
- Source: Discrete and Continuous Dynamical Systems - Series A, v. 41, (1), January 2021, p. 455-469
- Year: 2020
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Travel Time Tomography
- Author(s): Stefanov, Plamen D.; Uhlmann, Gunther Alberto Arancibia; Vasy, András; Zhou, Hanming
- Source: Acta Mathematica Sinica, English Series, v. 35, (6), June 2019, p. 1085-1114
- Year: 2019
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The geodesic X-ray transform with matrix weights
- Author(s): Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther Alberto Arancibia; Zhou, Hanming
- Source: American Journal of Mathematics, v. 141, (6), December 2019, p. 1707-1750
- Year: 2019
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Numerical Inversion of Three-Dimensional Geodesic X-Ray Transform Arising from Travel Time Tomography
- Author(s): Yeung, T. S. Au; Chung, Eric T.; Uhlmann, Gunther Alberto Arancibia
- Source: SIAM JOURNAL ON IMAGING SCIENCES, v. 12, (3), 2019, p. 1296-1323
- Year: 2019
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Inverse Problems for the Stationary Transport Equation in the Diffusion Scaling
- Author(s): Lai, Ru-Yu; Li, Qin; Uhlmann, Gunther Alberto Arancibia
- Source: SIAM Journal on Applied Mathematics, v. 79, (6), December 2019, p. 2340-2358
- Year: 2019
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On an Inverse Boundary Problem Arising in Brain Imaging
- Author(s): Deng, Youjun; Liu, Hongyu; Uhlmann, Gunther Alberto Arancibia
- Source: Journal of Differential Equations, v. 267, (4), August 2019, p. 2471-2502
- Year: 2019
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X-ray transform and boundary rigidity for asymptotically hyperbolic manifolds
- Author(s): Graham, C.Robin; Guillarmou, Colin; Stefanov, Plamen; Uhlmann, Gunther Alberto Arancibia
- Source: Annales de l'Institut Fourier, v. 69, (7), 2019, p. 2857-2919
- Year: 2019
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Reconstruction of Lorentzian Manifolds from Boundary Light Observation Sets
- Author(s): Hintz, Peter; Uhlmann, Gunther Alberto Arancibia
- Source: International Mathematics Research Notices, v. 2019, (22), November 2019, p. 6949-6987
- Year: 2019
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Inverting the local geodesic ray transform of higher rank tensors
- Author(s): De Hoop, Maarten V.; Uhlmann, Gunther Alberto Arancibia; Zhai, Jian
- Source: Inverse Problems, v. 35, (11), October 2019, article number 115009
- Year: 2019
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Scattering Control for the Wave Equation with Unknown Wave Speed
- Author(s): Caday, Peter; de Hoop, Maarten V.; Katsnelson, Vitaly; Uhlmann, Gunther Alberto Arancibia
- Source: Archive for Rational Mechanics and Analysis, v.231, (1), January 2019, p. 409-464
- Year: 2019
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Lens Rigidity for a Particle in a Yang-Mills Field
- Author(s): Paternain, Gabriel P.; Uhlmann, Gunther Alberto Arancibia; Zhou, Hanming
- Source: Communications in Mathematical Physics, v. 366, (2), March 2019, p. 681-707
- Year: 2019
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Nonlinear Responses From The Interaction Of Two Progressing Waves At An Interface
- Author(s): De Hoop, Maarten V.; Uhlmann, Gunther A.; Wang, Yiran
- Source: Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, v. 36, (2), March - April 2019, p. 347-363
- Year: 2019
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Stability Estimates for Partial Data Inverse Problems for Schrödinger Operators in the High Frequency Limit
- Author(s): Krupchyk, Katya; Uhlmann, Gunther Alberto Arancibia
- Source: Journal des Mathematiques Pures et Appliquees, v. 126, June 2019, p. 273-291
- Year: 2019
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Reconstruction of Piecewise Smooth Wave Speeds Using Multiple Scattering
- Author(s): Caday, Peter; De Hoop, Maarten V.; Katsnelson, Vitaly; Uhlmann, Gunther Alberto Arancibia
- Source: Transactions of the American Mathematical Society, v. 372, (2), July 2019, p. 1213-1235
- Year: 2019
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Local Recovery of the Compressional and Shear Speeds from the Hyperbolic DN Map
- Author(s): Stefanov, Plamen; Uhlmann, Gunther; Vasy, Andras
- Source: Inverse Problems, v. 34, (1), January 2018, article number 014003
- Year: 2018
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Inversion Formulas and Range Characterizations For The Attenuated Geodesic Ray Transform
- Author(s): Assylbekov, Yernat M.; Monard, Francois; Uhlmann, Gunther Alberto Arancibia
- Source: Journal des Mathematiques Pures et Appliquees, v. 111, March 2018, p. 161-190
- Year: 2018
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Inverse Problems for Semilinear Wave Equations on Lorentzian Manifolds
- Author(s): Lassas, Matti; Uhlmann, Gunther Alberto Arancibia; Wang, Yiran
- Source: Communications in Mathematical Physics, v. 360, (2), June 2018, p. 555-609
- Year: 2018
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Tensor Tomography in Periodic Slabs
- Author(s): Ilmavirta, J.; Uhlmann, Gunther Alberto Arancibia
- Source: Journal of Functional Analysis, v. 275, (2), July 2018, p. 288-299
- Year: 2018
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On The Microlocal Snalysis of The Geodesic X-ray Transform With Conjugate Points
- Author(s): Holman, Sean; Uhlmann, Gunther Alberto Arancibia
- Source: Journal of Differential Geometry, v. 108, (3), March 2018, p. 459-494
- Year: 2018
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Inverse Problems for Magnetic Schrödinger Operators in Transversally Anisotropic Geometries
- Author(s): Krupchyk, Katya; Uhlmann, Gunther Alberto Arancibia
- Source: Communications in Mathematical Physics, v. 361, (2), July 2018, p. 525-582
- Year: 2018
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Quantitative Analysis of Metal Artifacts in X-ray Tomography
- Author(s): Palacios, Benjamin; Uhlmann, Gunther Alberto Arancibia; Wang, Yiran
- Source: SIAM Journal on Mathematical Analysis, v. 50, (5), 2018, p. 4914-4936
- Year: 2018
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Inverting the Local Geodesic X-ray Transform on Tensors
- Author(s): Stefanov, Plamen; Uhlmann, Gunther; Vasy, András
- Source: Journal d'Analyse Mathematique, v. 136, (1), October 2018, p. 151-208
- Year: 2018
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Inverse problems for advection diffusion equations in admissible geometries
- Author(s): Krupchyk, Katya; Uhlmann, Gunther Alberto Arancibia
- Source: Communications in Partial Differential Equations, v. 43, (4), April 2018, p. 585-615
- Year: 2018
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On the inverse problem of finding cosmic strings and other topological defects
- Author(s): Lassas, Matti; Oksanen, Lauri; Stefanov, Plamen D.; Uhlmann, Gunther Alberto Arancibia
- Source: Communications in Mathematical Physics, v. 357, (2), January 2018, p. 569-595
- Year: 2018
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Reducing Streaking Artifacts in Quantitative Susceptibility Mapping
- Author(s): Palacios, Benjamin; Uhlmann, Gunther; Wang, Yiran
- Source: SIAM Journal on Imaging Sciences, v. 10, (4), 2017, p. 1921-1934
- Year: 2017
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An Inverse Problem from Condensed Matter Physics
- Author(s): Lai, Ruyu; Shankar, Ravi; Spirn, Daniel; Uhlmann, Gunther A.
- Source: Inverse Problems, v. 33, (11), October 2017, article number 115011
- Year: 2017
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Full and Partial Cloaking in Electromagnetic Scattering
- Author(s): Deng, Youjun; Liu, Hongyu; Uhlmann, Gunther A.
- Source: Archive for Rational Mechanics and Analysis, v. 223, (1), January 2017, p. 265-299
- Year: 2017
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The Calderón Problem with Partial Data for Conductivities with 3/2 Derivatives
- Author(s): Krupchyk, Katya; Uhlmann, Gunther Alberto Arancibia
- Source: Communications in Mathematical Physics, v. 348, (1), November 2016, p. 185-219
- Year: 2016
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Local analytic regularity in the linearized calderón problem
- Author(s): Sjöstrand, Johannes; Uhlmann, Gunther Alberto Arancibia
- Source: Analysis & PDE, v. 9, (3), June 2016, p. 515-544
- Year: 2016
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The inverse problem for the local geodesic ray transform
- Author(s): Uhlmann, Gunther Alberto Arancibia; Vasy, András
- Source: Inventiones Mathematicae, v. 205, (1), July 2016, p. 83-120
- Year: 2016
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Boundary rigidity with partial data
- Author(s): Stefanov, Plamen D.; Uhlmann, Gunther A.; Vasy, Andras
- Source: Journal of the American Mathematical Society, v. 29, (2), 2016, p. 299-332
- Year: 2016
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The X-Ray Transform for Connections in Negative Curvature
- Author(s): Guillarmou, Colin; Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther Alberto Arancibia
- Source: Communications in Mathematical Physics, v. 343, (1), April 2016, p. 83-127
- Year: 2016
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An inverse kinematic problem with internal sources
- Author(s): Pestov, Leonid N.; Uhlmann, Gunther; Zhou, Hanming
- Source: Inverse Problems, v. 31, (5), May 2015, article number 055006
- Year: 2015
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On the range of the attenuated ray transform for unitary connections
- Author(s): Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
- Source: International Mathematics Research Notices, v. 2015, (4), 2015, p. 873-897
- Year: 2015
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On LpResolvent Estimates for Elliptic Operators on Compact Manifolds
- Author(s): Krupchyk, Katsiaryna; Uhlmann, Gunther
- Source: Communications in Partial Differential Equations, v. 40, (3), March 2015, p. 438-474
- Year: 2015
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Invariant distributions, Beurling transforms and tensor tomography in higher dimensions
- Author(s): Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
- Source: Mathematische Annalen, v. 363, (1-2), October 2015, p. 305-362
- Year: 2015
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Regularized Transformation-Optics Cloaking for the Helmholtz Equation: From Partial Cloak to Full Cloak
- Author(s): Li, Jingzhi; Liu, Hongyu; Rondi, Luca; Uhlmann, Gunther
- Source: Communications in Mathematical Physics, v. 335, (2), 2015, p. 671-712
- Year: 2015
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The geodesic ray transform on Riemannian surfaces with conjugate points
- Author(s): Monard, François; Stefanov, Plamen D.; Uhlmann, Gunther
- Source: Communications in Mathematical Physics, v. 337, (3), August 2015, p. 1491-1513
- Year: 2015
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Determining both sound speed and internal source in thermo-and photo-acoustic tomography
- Author(s): Liu, Hongyu; Uhlmann, Gunther
- Source: Inverse Problems, v. 31, (10), September 2015, article number 105005
- Year: 2015
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Reconstruction of a fully anisotropic elasticity tensor from knowledge of displacement fields
- Author(s): Bal, Guillaume P.; Monard, François; Uhlmann, Gunther
- Source: SIAM Journal on Applied Mathematics, v. 75, (5), 2015, p. 2214-2231
- Year: 2015
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The Neumann-to-Dirichlet map in two dimensions
- Author(s): Imanuvilov, Oleg Yu; Uhlmann, Gunther; Yamamoto, Masahiro
- Source: Advances in Mathematics, v. 281, August 2015, p. 578-593
- Year: 2015
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Uniqueness for the inverse backscattering problem for angularly controlled potentials
- Author(s): Rakesh; Uhlmann, Gunther
- Source: Inverse Problems, v. 30, (6), 2014, article number 065005
- Year: 2014
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Tensor tomography: Progress and challenges
- Author(s): Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
- Source: Chinese Annals of Mathematics. Series B, v. 35, (3), 2014, p. 399-428
- Year: 2014
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Inverse problems: seeing the unseen
- Author(s): Uhlmann, Gunther
- Source: Bulletin of Mathematical Sciences, v. 4, (2), January 2014, p. 209-279
- Year: 2014
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Spectral rigidity and invariant distributions on anosov surfaces
- Author(s): Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
- Source: Journal of Differential Geometry, v. 98, (1), 2014, p. 147-181
- Year: 2014
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Inverse boundary value problems for the perturbed polyharmonic operator
- Author(s): Krupchyk, Katsiaryna; Lassas, Matti; Uhlmann, Gunther
- Source: Transactions of the American Mathematical Society, v. 366, (1), January 2014, p. 95-112
- Year: 2014
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Uniqueness in an Inverse Boundary Problem for a Magnetic Schrödinger Operator with a Bounded Magnetic Potential
- Author(s): Krupchyk, Katsiaryna; Uhlmann, Gunther
- Source: Communications in Mathematical Physics, v. 327, (3), 2014, p. 993-1009
- Year: 2014
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Special Issue on Complex Geometrical Optics (CGO) Solutions FOREWORD
- Author(s): Hamilton, Sarah; Knudsen, Kim; Siltanen, Samuli; Uhlmann, Gunther
- Source: Inverse Problems and Imaging, v. 8, (4), November 2014, p. 1-2
- Year: 2014
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Photoacoustic and thermoacoustic tomography with an uncertain wave speed
- Author(s): Oksanen, Lauri; Uhlmann, Gunther
- Source: Mathematical Research Letters, v. 21, (5), 2014, p. 1199-1214
- Year: 2014
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Inverse Boundary Value Problem for the Stokes and the Navier–Stokes Equations in the Plane
- Author(s): Lai, Ruyu; Uhlmann, Gunther; Wang, Jenn-Nan
- Source: Archive for Rational Mechanics and Analysis, v. 215, (3), 2014, p. 811-829
- Year: 2014
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Multiscale discrete approximations of Fourier integral operators associated with canonical transformations and caustics
- Author(s): De Hoop, Maarten V.; Uhlmann, Gunther; Vasy, András; Wendt, Herwig
- Source: Multiscale Modeling and Simulation, v. 11, (2), 2013, p. 566-585
- Year: 2013
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Is a curved flight path in SAR better than a straight one?
- Author(s): Stefanov, Plamen D.; Uhlmann, Gunther
- Source: SIAM Journal on Applied Mathematics, v. 73, (4), 2013, p. 1596-1612
- Year: 2013
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Instability of the linearized problem in multiwave tomography of recovery both the source and the speed
- Author(s): Stefanov, Plamen D.; Uhlmann, Gunther
- Source: Inverse Problems and Imaging, v. 7, (4), November 2013, p. 1367-1377
- Year: 2013
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Reconstruction of coefficients in scalar second-order elliptic equations from knowledge of their solutions
- Author(s): Bal, Guillaume P.; Uhlmann, Gunther
- Source: Communications on Pure and Applied Mathematics, v. 66, (10), October 2013, p. 1629-1652
- Year: 2013
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Tensor tomography on surfaces
- Author(s): Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
- Source: Inventiones Mathematicae, v. 193, (1), July 2013, p. 229-247
- Year: 2013
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Recovery of a source term or a speed with one measurement and applications
- Author(s): Stefanov, Plamen D.; Uhlmann, Gunther
- Source: Transactions of the American Mathematical Society, v. 365, (11), 2013, p. 5737-5758
- Year: 2013
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Increasing stability in an inverse problem for the acoustic equation
- Author(s): Nagayasu, Sei; Uhlmann, Gunther; Wang, Jenn-Nan
- Source: Inverse Problems, v. 29, (2), February 2013, article number 025012
- Year: 2013
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Inverse Boundary Problems for Systems in Two Dimensions
- Author(s): Albin, Pierre; Guillarmou, Colin; Tzou, Leo; Uhlmann, Gunther
- Source: Annales Henri Poincare, v. 14, (6), September 2013, p. 1551-1571
- Year: 2013
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Inverse Problems With Partial Data for a Magnetic Schrödinger Operator in an Infinite Slab and on a Bounded Domain
- Author(s): Krupchyk, Katsiaryna; Lassas, Matti; Uhlmann, Gunther
- Source: Communications in Mathematical Physics, v. 312, (1), 2012, p. 87-126
- Year: 2012
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Reconstructions for some coupled-physics inverse problems
- Author(s): Bal, Guillaume P.; Uhlmann, Gunther
- Source: Applied mathematics letters, v. 25, (7), 2012, p. 1030-1033
- Year: 2012
-
The attenuated ray transform for connections and Higgs fields
- Author(s): Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
- Source: Geometric and functional analysis, v. 22, (5), 2012, p. 1460-1489
- Year: 2012
-
Regularity and multi-scale discretization of the solution construction of hyperbolic evolution equations with limited smoothness
- Author(s): De Hoop, Maarten V.; Holman, Sean F.; Smith, Hart F.; Uhlmann, Gunther
- Source: Applied and computational harmonic analysis, v. 33, (3), 2012, p. 330-353
- Year: 2012
-
On uniqueness of Lamé coefficients from partial Cauchy data in three dimensions
- Author(s): Imanuvilov, Oleg Yu; Uhlmann, Gunther; Yamamoto, Masahiro
- Source: Inverse problems, v. 28, (12), November 2012, article number 125002
- Year: 2012
-
The geodesic x-ray transform with fold caustics
- Author(s): Stefanov, Plamen D.; Uhlmann, Gunther
- Source: Analysis & PDE, v. 5, (2), 2012, p. 219-260
- Year: 2012
-
Partial Cauchy data for general second order elliptic operators in two dimensions
- Author(s): Imanuvilov, Oleg Yu; Uhlmann, Gunther; Yamamoto, Masahiro
- Source: Publications of the Research Institute for Mathematical Sciences, v. 48, (4), 2012, p. 971-1055
- Year: 2012
-
Determining a first order perturbation of the biharmonic operator by partial boundary measurements
- Author(s): Krupchyk, Katsiaryna; Lassas, Matti; Uhlmann, Gunther
- Source: Journal of Functional Analysis, v. 262, (4), 2012, p. 1781–1801
- Year: 2012
-
Cloaked electromagnetic, acoustic, and quantum amplifiers via transformation optics
- Author(s): Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Leónhardt, Ulf; Uhlmann, Gunther
- Source: Proceedings of the National Academy of Sciences of the United States of America, v. 109, (26), June 2012, p. 10169-10174
- Year: 2012
-
An adaptive phase space method with application to reflection traveltime tomography
- Author(s): Chung, Eric; Qian, Jianliang; Uhlmann, Gunther; Zhao, Hongkai
- Source: Inverse problems, v. 27, (11), 2011, article number 115002
- Year: 2011
-
Inverse problems for the anisotropic maxwell equations
- Author(s): Kenig, Carlos E.; Salo, Mikko; Uhlmann, Gunther
- Source: Duke mathematical journal, v. 157, (2), 2011, p. 369-419
- Year: 2011
-
Quantitative strong unique continuation for the Lamé system with less regular coefficients
- Author(s): Uhlmann, Gunther; Lin, Ching-Lung; Nakamura, Gen; Wang, Jenn-Nan
- Source: Methods and Applications of Analysis, v. 18, (1), 2011, p. 85-92
- Year: 2011
-
Approximate quantum and acoustic cloaking
- Author(s): Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther
- Source: Journal of Spectral Theory, v. 1, (1), 2011, p. 27-80
- Year: 2011
-
Calderon's paper "On an inverse boundary value problem"
- Author(s): Uhlmann, Gunther
- Source: Revista matemática iberoamericana, 2011, p. 297+
- Year: 2011
-
Determination of second-order elliptic operators in two dimensions from partial Cauchy data
- Author(s): Imanuvilov, Oleg Yu; Uhlmann, Gunther; Yamamoto, Masahiro
- Source: Proceedings of the National Academy of Sciences of the United States of America, v. 108, (2), January 2011, p. 467-472
- Year: 2011
-
Cloaking a sensor via transformation optics
- Author(s): Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther
- Source: Physical Review E, v. 83, (1), January 2011, article number 016603
- Year: 2011
-
Reconstruction of penetrable obstacles in acoustic scattering
- Author(s): Nagayasu, Sei; Uhlmann, Gunther; Wang, Jenn-Nan
- Source: SIAM journal on mathematical analysis, v. 43, (1), 2011, p. 189-211
- Year: 2011
-
Thermoacoustic tomography arising in brain imaging
- Author(s): Stefanov, Plamen D.; Uhlmann, Gunther
- Source: Inverse problems, v. 27, (4), 2011, article number 045004
- Year: 2011
-
Quantitative thermo-acoustics and related problems
- Author(s): Bal, Guillaume P.; Ren, Kui; Uhlmann, Gunther; Zhou, Ting
- Source: Inverse problems, v. 27, (5), 2011, article number 055007
- Year: 2011
-
The attenuated ray transform on simple surfaces
- Author(s): Salo, Mikko; Uhlmann, Gunther
- Source: Journal of differential geometry, v. 88, (1), 2011, p. 161-187
- Year: 2011
-
Inverse problems for differential forms on riemannian manifolds with boundary
- Author(s): Krupchyk, Katsiaryna; Lassas, Matti; Uhlmann, Gunther
- Source: Communications in partial differential equations, v. 36, (8), 2011, p. 1475-1509
- Year: 2011
-
Inverse boundary value problem by measuring Dirichlet data and Neumann data on disjoint sets
- Author(s): Imanuvilov, Oleg Yu; Uhlmann, Gunther; Yamamoto, Masahiro
- Source: Inverse problems, v. 27, (8), 2011, article number 085007
- Year: 2011
-
An efficient neumann series-based algorithm for thermoacoustic and photoacoustic tomography with variable sound speed
- Author(s): Qian, Jianliang; Stefanov, Plamen D.; Uhlmann, Gunther; Zhao, Hongkai
- Source: SIAM journal on imaging sciences, v. 4, (3), 2011, p. 850-883
- Year: 2011
-
Decoupling of modes for the elastic wave equation in media of limited smoothness
- Author(s): Brytik, Valeriy; De Hoop, Maarten V.; Smith, Hart F.; Uhlmann, Gunther
- Source: Communications in partial differential equations, v. 36, (10), 2011, p. 1683-1693
- Year: 2011
-
Reconstructions from boundary measurements on admissible manifolds
- Author(s): Kenig, Carlos E.; Salo, Mikko; Uhlmann, Gunther
- Source: Inverse problems and imaging, v. 5, (4), 2011, p. 859-877
- Year: 2011
-
Asymptotic behavior of solutions of the stationary Navier-Stokes equations in an exterior domain
- Author(s): Lin, Ching-Lung; Uhlmann, Gunther; Wang, Jenn-Nan
- Source: Indiana University mathematics journal, v. 60, (6), 2011, p. 2093-2106
- Year: 2011
-
Universal multi-scale computations of Fourier integral operators for coherent imaging in caustics
- Author(s): Wendt, Herwig; De Hoop, Maarten V.; Uhlmann, Gunther; Vasy, András
- Source: SEG technical program expanded abstracts, v. 30, (1), 2011, p. 2936-2940
- Year: 2011
-
Polarization-invariant directional cloaking by transformation optics
- Author(s): Agarwal, Krishna; Chen, Xudong; Hu, Li; Liu, Hongyu; Uhlmann, Gunther
- Source: Progress In Electromagnetics Research, v. 118, 2011, p. 415-423
- Year: 2011
-
Cloaking a sensor for three-dimensional Maxwell's equations: Transformation optics approach
- Author(s): Chen, Xudong; Uhlmann, Gunther
- Source: Optics express, v. 19, (21), 2011, p. 20518-20530
- Year: 2011
-
Methods and Applications of Analysis: Preface
- Author(s): Uhlmann, G.; Chung, Tsz Shun; Yamamoto, Masahiro; Zou, Jun
- Source: Methods and Applications of Analysis, v. 17, no. 4 (Dec 2010) p. i-ii
- Year: 2010
-
Inverse diffusion theory of photoacoustics
- Author(s): Bal, Guillaume P.; Uhlmann, Gunther
- Source: Inverse problems, v. 26, (8), August 2010, article Number: 085010
- Year: 2010
-
Rigidity of broken geodesic flow and inverse problems
- Author(s): Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther
- Source: American journal of mathematics, v. 132, (2), 2010, p. 529-562
- Year: 2010
-
The calderón problem with partial data in two dimensions
- Author(s): Imanuvilov, Oleg Yu; Uhlmann, Gunther; Yamamoto, Masahiro
- Source: Journal of the American Mathematical Society, v. 23, (3), 2010, p. 655-691
- Year: 2010
-
Reconstructing the metric and magnetic field from the scattering relation
- Author(s): Dairbekov, Nurlan S.; Uhlmann, Gunther
- Source: Inverse problems and imaging, v. 4, (3), 2010, p. 397-409
- Year: 2010
-
Inverse scattering for the magnetic Schrödinger operator
- Author(s): Päivärinta, Lassi Juhani; Salo, Mikko; Uhlmann, Gunther
- Source: Journal of functional analysis, v. 259, (7), 2010, p. 1771-1798
- Year: 2010
-
Inverse problems with partial data in a slab
- Author(s): Li, Xiaosheng; Uhlmann, Gunther
- Source: Inverse problems and imaging, v. 4, (3), 2010, p. 449-462
- Year: 2010
-
Optimal three-ball inequalities and quantitative uniqueness for the Stokes system
- Author(s): Lin, Ching-Lung; Uhlmann, Gunther; Wang, Jenn-Nan
- Source: Discrete and Continuous Dynamical Systems, v. 28, (3), November 2010, p. 1273-1290
- Year: 2010
-
Unique Continuation Property for the Elasticity with General Residual Stress
- Author(s): Uhlmann, Gunther; Wang, Jenn-Nan
- Source: Inverse problems and imaging, v. 3, (2), May 2009, p. 309-317
- Year: 2009
-
Invisibility and inverse problems
- Author(s): Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther
- Source: Bulletin of the American Mathematical Society, v. 46, (1), 2009, p. 55-97
- Year: 2009
-
Cloaking devices, electromagnetic wormholes, and transformation optics
- Author(s): Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther
- Source: SIAM review, v. 51, (1), 2009, p. 3-33
- Year: 2009
-
Linearizing non-linear inverse problems and an application to inverse backscattering
- Author(s): Stefanov, Plamen D.; Uhlmann, Gunther
- Source: Journal of functional analysis, v. 256, (9), 2009, p. 2842-2866
- Year: 2009
-
Seismic imaging with the generalized Radon transform: A curvelet transform perspective
- Author(s): De Hoop, Maarten V.; Smith, Hart F.; Uhlmann, Gunther; Van Der Hilst, Robert D.
- Source: Inverse problems, v. 25, (2), 2009, article number 025005
- Year: 2009
-
Electrical impedance tomography and Calderón's problem
- Author(s): Uhlmann, Gunther
- Source: Inverse problems, v. 25, (12), 2009, article number 123011
- Year: 2009
-
Local lens rigidity with incomplete data for a class of non-simple riemannian manifolds
- Author(s): Stefanov, Plamen D.; Uhlmann, Gunther
- Source: Journal of differential geometry, v. 82, (2), 2009, p. 383-409
- Year: 2009
-
Limiting Carleman weights and anisotropic inverse problems
- Author(s): Ferreira, David Dos Santos; Kenig, Carlos E.; Salo, Mikko; Uhlmann, Gunther
- Source: Inventiones mathematicae, v. 178, (1), 2009, p. 119-171
- Year: 2009
-
On the linearized local calderón problem
- Author(s): Ferreira, David Dos Santos; Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther
- Source: Mathematical research letters, v. 16, (6), 2009, p. 955-970
- Year: 2009
-
Thermoacoustic tomography with variable sound speed
- Author(s): Stefanov, Plamen D.; Uhlmann, Gunther
- Source: Inverse problems, v. 25, (7), 2009, article number 075011
- Year: 2009
-
Reconstruction of inclusions in an elastic body
- Author(s): Uhlmann, Gunther; Wang, Jenn-Nan; Wu, Chintien
- Source: Journal de mathématiques pures et appliquées, v. 91, (6), 2009, p. 569-582
- Year: 2009
-
A depth-dependent stability estimate in electrical impedance tomography
- Author(s): Nagayasu, Sei; Uhlmann, Gunther; Wang, Jenn-Nan
- Source: Inverse problems, v. 25, (7), 2009, article number 075001
- Year: 2009
-
Generalized backscattering and the Lax-Phillips transform
- Author(s): Melrose, Richard B.; Uhlmann, Gunther
- Source: Serdica Mathematical Journal, v. 34, 2008, p. 1026-1044
- Year: 2008
-
An Inverse Source Problem in Optical Molecular Imaging
- Author(s): Stefanov, Plamen D.; Uhlmann, Gunther
- Source: Analysis & PDE, v. 1, (1), 2008, p. 115-126
- Year: 2008
-
The X-ray transform for a generic family of curves and weights
- Author(s): Frigyik, Béla András; Stefanov, Plamen D.; Uhlmann, Gunther
- Source: Journal of geometric analysis, v. 18, (1), 2008, p. 89-108
- Year: 2008
-
Integral geometry of tensor fields on a class of non-simple Riemannian manifolds
- Author(s): Stefanov, Plamen D.; Uhlmann, Gunther
- Source: American journal of mathematics, v. 130, (1), 2008, p. 239-268
- Year: 2008
-
Electromagnetic wormholes via handlebody constructions
- Author(s): Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther
- Source: Communications in Mathematical Physics, v. 281, (2), 2008, p. 369-385
- Year: 2008
-
Approximate Quantum Cloaking and Almost-Trapped States
- Author(s): Greenleaf, Allan; Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther
- Source: Physical Review Letters, v. 101, (22), November 2008, Article number 220404
- Year: 2008
-
Isotropie transformation optics: Approximate acoustic and quantum cloaking
- Author(s): Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther
- Source: New journal of physics, v. 10, 2008, article number 115024
- Year: 2008
-
Complex geometrical optics solutions for anisotropic equations and applications
- Author(s): Takuwa, H.; Uhlmann, Gunther; Wang, Jenn-Nan
- Source: Journal of inverse and III-posed problems, v. 16, (8), 2008, p. 791-804
- Year: 2008
-
Reconstructing discontinuities using complex geometrical optics solutions
- Author(s): Uhlmann, Gunther; Wang, Jenn-Nan
- Source: SIAM journal on applied mathematics, v. 68, (4), 2008, p. 1026-1044
- Year: 2008
-
A multi-scale approach to hyperbolic evolution equations with limited smoothness
- Author(s): Andersson, Fredrik N.G.; De Hoop, Maarten V.; Smith, Hart F.; Uhlmann, Gunther
- Source: Communications in partial differential equations, v. 33, (6), 2008, p. 988-1017
- Year: 2008
-
The Calderón problem for partial cauchy data
- Author(s): Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther
- Source: Annals of Math., v. 22, 2007, p. 431-445
- Year: 2007
-
Reconstruction of obstacles immersed in an incompressible fluid
- Author(s): Heck, Horst; Uhlmann, Gunther; Wang, Jenn-Nan
- Source: Inverse problems and imaging, v. 1, (1), February 2007, p. 63-76
- Year: 2007
-
Parametrices for symmetric systems with multiplicity
- Author(s): Nolan, Clifford J.; Uhlmann, Gunther
- Source: Wave motion, v. 44, (4), 2007, p. 231-247
- Year: 2007
-
Probing for electrical inclusions with complex spherical waves
- Author(s): Ide, Takanori; Isozaki, Hiroshi; Nakata, Susumu; Siltanen, Samuli; Uhlmann, Gunther
- Source: Communications on pure and applied mathematics, v. 60, (10), 2007, p. 1415-1442
- Year: 2007
-
Improvement of cylindrical cloaking with the SHS lining
- Author(s): Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther
- Source: Optics express, v. 15, (20), 2007, p. 12717-12734
- Year: 2007
-
Electromagnetic Wormholes and Virtual Magnetic Monopoles from Metamaterials
- Author(s): Greenleaf, Allan; Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther
- Source: Physical Review Letters, v. 99, (18), November 2007, article number 183901
- Year: 2007
-
Full-wave invisibility of active devices at all frequencies
- Author(s): Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther
- Source: Communications in Mathematical Physics, v. 275, (3), 2007, p. 749-789
- Year: 2007
-
Complex spherical waves for the elasticity system and probing of inclusions
- Author(s): Uhlmann, Gunther; Wang, Jenn-Nan
- Source: SIAM journal on mathematical analysis, v. 38, (6), 2007, p. 1967-1980
- Year: 2007
-
The boundary rigidity problem in the presence of a magnetic field
- Author(s): Dairbekov, Nurlan S.; Paternain, Gabriel P.; Stefanov, Plamen D.; Uhlmann, Gunther
- Source: Advances in mathematics, v. 216, (2), 2007, p. 535-609
- Year: 2007
-
Unique continuation for hyperbolic equations with memory
- Author(s): Bukhgeǐm, Alexander L.; Dyatlov, Gleb V.; Uhlmann, Gunther
- Source: Journal of inverse and III-posed problems, v. 15, (6), 2007, p. 587-598
- Year: 2007
-
A new phase space method for recovering index of refraction from travel times
- Author(s): Chung, Eric; Qian, Jianliang; Uhlmann, Gunther; Zhao, Hongkai
- Source: Inverse problems, v. 23, (1), February 2007, p. 309-329
- Year: 2007
-
Determining a magnetic Schrödinger operator from partial cauchy data
- Author(s): Ferreira, David Dos Santos; Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther
- Source: Communications in Mathematical Physics, v. 271, (2), 2007, p. 467-488
- Year: 2007
-
The Calderón problem with partial data
- Author(s): Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther
- Source: Annals of mathematics, v. 165, (2), 2007, p. 567-591
- Year: 2007
-
Characterization and 'source-receiver' continuation of seismic reflection data
- Author(s): De Hoop, Maarten V.; Uhlmann, Gunther
- Source: Communications in Mathematical Physics, v. 263, (1), 2006, p. 1-19
- Year: 2006
-
Oscillating-decaying solutions, Runge approximation property for the anisotropic elasticity system and their applications to inverse problems
- Author(s): Nakamura, Gen; Uhlmann, Gunther; Wang, Jenn-Nan
- Source: Journal de mathématiques pures et appliquées, v. 84, (1), 2005, p. 21-54
- Year: 2005
-
Two dimensional compact simple Riemannian manifolds are boundary distance rigid
- Author(s): Pestov, Leonid N.; Uhlmann, Gunther
- Source: Annals of mathematics, v. 161, (2), 2005, p. 1093-1110
- Year: 2005
-
Reconstruction of cracks in an inhomogeneous anisotropic medium using point sources
- Author(s): Nakamura, Gen; Uhlmann, Gunther; Wang, Jenn-Nan
- Source: Advances in applied mathematics, v. 34, (3), 2005, p. 591-615
- Year: 2005
-
Stable determination of generic simple metrics from the hyperbolic Dirichlet-to-Neumann map
- Author(s): Stefanov, Plamen D.; Uhlmann, Gunther
- Source: International mathematics research notices, (17), 2005, p. 1047-1061
- Year: 2005
-
Boundary rigidity and stability for generic simple metrics
- Author(s): Stefanov, Plamen D.; Uhlmann, Gunther
- Source: Journal of the American Mathematical Society, v. 18, (4), 2005, p. 975-1003
- Year: 2005
-
Regularity of ghosts in tensor tomography
- Author(s): Sharafutdinov, Vladimir A.; Skokan, Michal; Uhlmann, Gunther
- Source: Journal of geometric analysis, v. 15, (3), 2005, p. 499-542
- Year: 2005
-
Recent Progress on the Boundary Rigidity Problem
- Author(s): Stefanov, Plamen D.; Uhlmann, Gunther
- Source: Electronic Research Announcements of the American Mathematical Society, v. 11, 2005, p. 64-70
- Year: 2005
-
Inverse Problems in N-body scattering
- Author(s): Uhlmann, Gunther; Vasy, András
- Source: Contemporary Mathematics, v.348, 2004, p. 135-154
- Year: 2004
-
Reconstruction of the Potential from Partial Cauchy Data for the Schrödinger Equation
- Author(s): Ammari, Habib; Uhlmann, Gunther
- Source: Indiana University mathematics journal, v. 53, (1), 2004, p. 169-183
- Year: 2004
-
The boundary distance function and the Dirichlet-to-Neumann map
- Author(s): Pestov, Leonid N.; Uhlmann, Gunther
- Source: Mathematical research letters, v. 11, (2-3), 2004, p. 285-297
- Year: 2004
-
Local uniqueness for the fixed energy fixed angle inverse problem in obstacle scattering
- Author(s): Stefanov, Plamen D.; Uhlmann, Gunther
- Source: Proceedings of the American Mathematical Society, v. 132, (5), 2004, p. 1351-1354
- Year: 2004
-
Stability estimates for the X-ray transform of tensor fields and boundary rigidity
- Author(s): Stefanov, Plamen D.; Uhlmann, Gunther
- Source: Duke mathematical journal, v. 123, (3), 2004, p. 445-467
- Year: 2004
-
Inverse scattering problem in nuclear physics - Optical model
- Author(s): Isozaki, Hiroshi; Nakazawa, Hideo; Uhlmann, Gunther
- Source: Journal of mathematical physics, v. 45, (7), 2004, p. 2613-2632
- Year: 2004
-
Hyperbolic geometry and local Dirichlet-Neumann map
- Author(s): Isozaki, Hiroshi; Uhlmann, Gunther
- Source: Advances in mathematics, v. 188, (2), 2004, p. 294-314
- Year: 2004
-
On characterization of the range and inversion formulas for the geodesic X-ray transform
- Author(s): Pestov, Leonid N.; Uhlmann, Gunther
- Source: International mathematics research notices, (80), 2004, p. 4331-4347
- Year: 2004
-
Inverse problems for the Pauli Hamiltonian in two dimensions
- Author(s): Kang, Hyeonbae; Uhlmann, Gunther
- Source: The journal of fourier analysis and applications, v. 10, (2), 2004, p. 201-215
- Year: 2004
-
Unique continuation property for elliptic systems and crack determination in anisotropic elasticity
- Author(s): Wang, Jenn-Nan; Nakamura, Gen; Uhlmann, Gunther
- Source: Contemporary Mathematics, v. 362, 2004, p, 321-338
- Year: 2004
-
Inverse problems in three-body scattering
- Author(s): Uhlmann, Gunther; Vasy, András
- Source: Contemporary Mathematics, v. 333, 2003, p. 209-215
- Year: 2003
-
Geometrical optics for generic anisotropic materials
- Author(s): Nolan, Clifford J.; Uhlmann, Gunther
- Source: Contemporary Mathematics, v. 333, 2003, p. 177-185
- Year: 2003
-
Optical tomography in two dimensions
- Author(s): Stefanov, Plamen D.; Uhlmann, Gunther
- Source: Methods and Applications of Analysis, v. 10, (1), 2003, p. 1-10
- Year: 2003
-
Complex geometrical optics solutions for Lipschitz conductivities
- Author(s): Päivärinta, Lassi Juhani; Panchenko, Alexander; Uhlmann, Gunther
- Source: Revista matemática iberoamericana, v. 19, (1), 2003, p. 57-72
- Year: 2003
-
The Calderón Problem for Conormal Potentials I: Global Uniqueness and Reconstruction
- Author(s): Greenleaf, Allan; Lassas, Matti; Uhlmann, Gunther
- Source: Communications on pure and applied mathematics, v. 56, (3), 2003, p. 328-352
- Year: 2003
-
Semiglobal boundary rigidity for Riemannian metrics
- Author(s): Lassas, Matti; Sharafutdinov, Vladimir A.; Uhlmann, Gunther
- Source: Mathematische Annalen, v. 325, (4), 2003, p. 767-793
- Year: 2003
-
The Dirichlet-to-Neumann map for complete Riemannian manifolds with boundary
- Author(s): Lassas, Matti; Taylor, Michael E.; Uhlmann, Gunther
- Source: Communications in analysis and geometry, v. 11, (2), 2003, p. 207-221
- Year: 2003
-
Boundary determination of a Riemannian metric by the localized boundary distance function
- Author(s): Uhlmann, Gunther; Wang, Jenn-Nan
- Source: Advances in applied mathematics, v. 31, (2), 2003, p. 379-387
- Year: 2003
-
On nonuniqueness for calderón's inverse problem
- Author(s): Greenleaf, Allan; Lassas, Matti; Uhlmann, Gunther
- Source: Mathematical research letters, v. 10, (5-6), 2003, p. 685-693
- Year: 2003
-
Anisotropic inverse problems in two dimensions
- Author(s): Sun, Ziqi; Uhlmann, Gunther
- Source: Inverse problems, v. 19, (5), 2003, p. 1001-1010
- Year: 2003
-
Propagation of polarization in elastodynamics with residual stress and travel times
- Author(s): Hansen, Sönke; Uhlmann, Gunther
- Source: Mathematische Annalen, v. 326, (3), 2003, p. 563-587
- Year: 2003
-
Reconstruction of cracks in an inhomogeneous anisotropic elastic medium
- Author(s): Nakamura, Gen; Uhlmann, Gunther; Wang, Jenn-Nan
- Source: Journal de mathématiques pures et appliquées, v. 82, (10), 2003, p. 1251-1276
- Year: 2003
-
Fixed energy inverse problem for exponentially decreasing potentials
- Author(s): Vasy, András; Uhlmann, Gunther
- Source: Methods and Applications of Analysis, v. 9, 2002, p. 239-247
- Year: 2002
-
Recovering a potential from partial Cauchy data
- Author(s): Bukhgeǐm, Alexander L.; Uhlmann, Gunther
- Source: Communications in partial differential equations, v. 27, (3-4), 2002, p. 653-668
- Year: 2002
-
Low-energy inverse problems in three-body scattering
- Author(s): Uhlmann, Gunther; Vasy, András
- Source: Inverse problems, v. 18, (3), 2002, p. 719-736
- Year: 2002
-
Reconstruction of the memory from partial boundary measurements
- Author(s): Bukhgeǐm, Alexander L.; Dyatlov, Gleb V.; Uhlmann, Gunther
- Source: Contemporary Mathematics, v. 307, 2002, p. 39-46
- Year: 2002
-
Travel time tomography
- Author(s): Uhlmann, Gunther
- Source: Journal of the Korean Mathematical Society, v. 38, (4), 2001, p. 711-722
- Year: 2001
-
Recent progress in the anisotropic electrical impedance problem
- Author(s): Uhlmann, Gunther
- Source: Electronic Journal of Differential Equations (EJDE), Proc. of conferences, v. 6, 2001, p. 303-311
- Year: 2001
-
A time-dependent approach to the inverse backscattering problem
- Author(s): Uhlmann, Gunther
- Source: Inverse problems, v. 17, (4), 2001, p. 703-716
- Year: 2001
-
The x-ray transform for a non-Abelian connection in two dimensions
- Author(s): Finch, David V.; Uhlmann, Gunther
- Source: Inverse problems, v. 17, (4), 2001, p. 695-701
- Year: 2001
-
On determining a Riemannian manifold from the Dirichlet-to-Neumann map
- Author(s): Lassas, Matti; Uhlmann, Gunther
- Source: Annales scientifiques de l'Ecole normale supérieure, v. 34, (5), 2001, p. 771-787
- Year: 2001
-
Local uniqueness for the Dirichlet-to-Neumann map via the two-plane transform
- Author(s): Greenleaf, Allan; Uhlmann, Gunther
- Source: Duke mathematical journal, v. 108, (3), 2001, p. 599-617
- Year: 2001
-
Characteristic space-time estimates for the wave equation
- Author(s): Greenleaf, Allan; Uhlmann, Gunther
- Source: Mathematische Zeitschrift, v. 236, (1), 2001, p. 113-131
- Year: 2001
-
On deformation boundary rigidity and spectral rigidity of Riemannian surfaces with no focal points
- Author(s): Sharafutdinov, Vladimir A.; Uhlmann, Gunther
- Source: Journal of differential geometry, v. 56, (1), 2000, p. 93-110
- Year: 2000
-
Inverse elastic scattering at a fixed energy
- Author(s): Nakamura, Gen; Uhlmann, Gunther
- Source: Journal of Inverse and Ill Posed Problems, v. 7, (3), 1999, p. 283-288
- Year: 1999
-
Layer stripping for a transversely isotropic elastic medium
- Author(s): Nakamura, Gen; Tanuma, Kazumi; Uhlmann, Gunther
- Source: SIAM journal on applied mathematics, v. 59, (5), 1999, p. 1879-1891
- Year: 1999
-
Inverse Boundary Value Problems for Partial Differential Equations
- Author(s): Uhlmann, Gunther
- Source: Documenta Mathematica, Extra Volume ICM 98, v. III, 1998, 77–86
- Year: 1998
-
Uniqueness for a wave propagation inverse problem in a half-space
- Author(s): Lassas, Matti; Cheney, Margaret; Uhlmann, Gunther
- Source: Inverse problems, v. 14, (3), 1998, p. 679-684
- Year: 1998
-
Rigidity for metrics with the same lengths of Geodesics
- Author(s): Stefanov, Plamen D.; Uhlmann, Gunther
- Source: Mathematical research letters, v. 5, (1-2), 1998, p. 83-96
- Year: 1998
-
Stability Estimates for the Hyperbolic Dirichlet to Neumann Map in Anisotropic Media
- Author(s): Stefanov, Plamen D.; Uhlmann, Gunther
- Source: Journal of functional analysis, v. 154, (2), 1998, p. 330-358
- Year: 1998
-
Inverse problems in quasilinear anisotropic media
- Author(s): Sun, Ziqi; Uhlmann, Gunther
- Source: American journal of mathematics, v. 119, (4), 1997, p. 771-797
- Year: 1997
-
Uniqueness in the inverse conductivity problem for nonsmooth conductivities in two dimensions
- Author(s): Brown, Russell M.; Uhlmann, Gunther
- Source: Communications in partial differential equations, v. 22, (5-6), 1997, p. 1009-1027
- Year: 1997
-
Inverse backscattering for the acoustic equation
- Author(s): Stefanov, Plamen D.; Uhlmann, Gunther
- Source: SIAM journal on mathematical analysis, v. 28, (5), 1997, p. 1191-1204
- Year: 1997
-
Inverse problems in non-linear media
- Author(s): Sun, Ziqi; Uhlmann, Gunther
- Source: Journées équations aux dérivées partielles, Saint-Jean des Monts, v. XIV, 1996, p. 1–11
- Year: 1996
-
Inverse Problems at the Boundary for an Elastic Medium
- Author(s): Nakamura, Gen; Uhlmann, Gunther
- Source: SIAM journal on mathematical analysis, v. 26, (2), p. 263-279
- Year: 1995
-
Global identifiability for an inverse problem for the Schrödinger equation in a magnetic field
- Author(s): Nakamura, Gen; Sun, Ziqi; Uhlmann, Gunther
- Source: Mathematische Annalen, v. 303, (1), December 1995, p. 377-388
- Year: 1995
-
Global uniqueness for an inverse boundary problem arising in elasticity
- Author(s): Nakamura, Gen; Uhlmann, Gunther
- Source: Inventiones mathematicae, v. 118, (1), 1994, p. 457-474
- Year: 1994
-
Inverse boundary value problems for first order perturbations of the Laplacian
- Author(s): Uhlmann, Gunther
- Source: Lectures in Applied Mathematics, v. 30, 1993, p. 245–258
- Year: 1993
-
Identification of Lame parameters from boundary measurements
- Author(s): Nakamura, Gen; Uhlmann, Gunther
- Source: American journal of mathematics, v. 115, (5), October 1993, p. 1161-1187
- Year: 1993
-
Recovery of singularities for formally determined inverse problems
- Author(s): Sun, Ziqi; Uhlmann, Gunther
- Source: Communications in Mathematical Physics, v. 153, (3), 1993, p. 431-445
- Year: 1993
-
Recovering singularities of a potential from singularities of scattering data
- Author(s): Greenleaf, Allan; Uhlmann, Gunther
- Source: Communications in Mathematical Physics, v. 157, (3), 1993, p. 549-572
- Year: 1993
-
Inverse Scattering for Singular Potentials in Two Dimensions
- Author(s): Sun, Ziqi; Uhlmann, Gunther
- Source: Transactions of the American Mathematical Society, v. 338, (1), July 1993, p. 363-374
- Year: 1993
-
An inverse boundary value problem for Maxwell's equations
- Author(s): Sun, Ziqi; Uhlmann, Gunther
- Source: Archive for rational mechanics and analysis, v. 119, (1), 1992, p. 71-93
- Year: 1992
-
Microlocal analysis of the two-plane transform
- Author(s): Greenleaf, Allan; Uhlmann, Gunther
- Source: Contemporary Mathematics, v. 140, 1992, p. 65–71
- Year: 1992
-
Inverse Boundary-Value-Problems and Applications
- Author(s): Uhlmann, Gunther
- Source: Astérisque, v. 207, 1992, p. 153-211
- Year: 1992
-
Inverse problems in anisotropic media
- Author(s): Sylvester, John; Uhlmann, Gunther
- Source: Contemporary Mathematics, v. 122, 1991, p. 105–117
- Year: 1991
-
Generic uniqueness for an inverse boundary value problem
- Author(s): Sun, Ziqi; Uhlmann, Gunther
- Source: Duke Mathematical Journal, v. 62, (1), February 1991, p. 131-155
- Year: 1991
-
Composition of some singular Fourier integral operators and estimates for restricted x-ray transforms 2
- Author(s): Greenleaf, Allan; Uhlmann, Gunther
- Source: Duke mathematical journal, v. 64, (3), December 1991, p. 415-444
- Year: 1991
-
Microlocal techniques in integral geometry
- Author(s): Greenleaf, Allan; Uhlmann, Gunther
- Source: Contemporary Mathematics, v. 113, 1990, p. 121–135
- Year: 1990
-
Composition of some singular Fourier integral operators and estimates for restricted X-ray transforms
- Author(s): Greenleaf, Allan; Uhlmann, Gunther
- Source: Annales de l'institut Fourier, v. 40, (2), 1990, p. 443-466
- Year: 1990
-
Estimates for singular radon transforms and pseudodifferential operators with singular symbols
- Author(s): Greenleaf, Allan; Uhlmann, Gunther
- Source: Journal of functional analysis, v. 89, (1), 1990, p. 202-232
- Year: 1990
-
Non-local inversion formulas for the X-ray transform
- Author(s): Greenleaf, Allan; Uhlmann, Gunther
- Source: Duke Mathematical Journal, v. 58, (1), February 1989, p. 205-240
- Year: 1989
-
Determining anisotropic real-analytic conductivities by boundary measurements
- Author(s): Lee, John M.; Uhlmann, Gunther
- Source: Communications on Pure and Applied Mathematics, v. 42, (8), December 1989, p. 1097-1112
- Year: 1989
-
Inverse Boundary Value Problems
- Author(s): Sylvester, John; Uhlmann, Gunther
- Source: Lecture Notes in Mathematics, v. 1324, 1988, p. 320-328
- Year: 1988
-
Inverse Boundary-Value Problems at the Boundary - Continuous Dependence
- Author(s): Sylvester, John; Uhlmann, Gunther
- Source: Communications on pure and applied mathematics, v. 41, (2), March 1988, p. 197-219
- Year: 1988
-
An n-dimensional Borg-Levinson theorem
- Author(s): Nachman, Adrian I.; Sylvester, John; Uhlmann, Gunther
- Source: Communications in Mathematical Physics, v. 115, (4), 1988, p. 595-605
- Year: 1988
-
A global uniqueness theorem for an inverse boundary value problem
- Author(s): Sylvester, John; Uhlmann, Gunther
- Source: Annals of Mathematics, v. 125, (1), 1987, p. 153-169
- Year: 1987
-
A uniqueness theorem for an inverse boundary value problem in electrical prospection
- Author(s): Sylvester, John; Uhlmann, Gunther
- Source: Communications on Pure and Applied Mathematics, v. 39, (1), 1986, p. 91-112
- Year: 1986
-
Scattering by a potential
- Author(s): Uhlmann, Gunther
- Source: Lecture Notes in Spanish, Acta Cientifica Venezolana, v. 36, 1985, p. 1-18
- Year: 1985
-
Singular asymptotics approach to partial differential equations with isolated singularities in the coefficients
- Author(s): Callias, Constantine J.; Uhlmann, Gunther
- Source: Bulletin of the American Mathematical Society, v. 11, (1), 1984, p. 172-176
- Year: 1984
-
A sufficient condition for local solvability for a class of operators with double characteristics
- Author(s): Mendoza, Gerardo A.; Uhlmann, Gunther
- Source: American Journal of Mathematics, v. 106, (1), 1984, p. 187-217
- Year: 1984
-
A necessary condition for local solvability for a class of operators with double characteristics
- Author(s): Mendoza, Gerardo A.; Uhlmann, Gunther
- Source: Journal of functional analysis, v. 52, (2), 1983, p. 252-256
- Year: 1983
-
Light intensity distribution in conical refraction
- Author(s): Uhlmann, Gunther
- Source: Communications on Pure and Applied Mathematics, v.35, (1), 1982, p. 69-80
- Year: 1982
-
Oscillatory integrals with singular symbols
- Author(s): Guillemin, Victor; Uhlmann, Gunther
- Source: Duke Mathematical Journal, v. 48, (1), 1981, p. 251-267
- Year: 1981
-
Microlocal structure of involutive conical refraction
- Author(s): Melrose, Richard B.; Uhlmann, Gunther
- Source: Duke Mathematical Journal, v. 46, (3), 1979, p. 571-582
- Year: 1979
-
Lagrangian intersection and the Cauchy problem
- Author(s): Melrose, Richard B.; Uhlmann, Gunther
- Source: Communications on Pure and Applied Mathematics, v.32, (4), 1979, p. 483-519
- Year: 1979
-
Parametrices for operators with multiple involutive characteristics
- Author(s): Uhlmann, Gunther
- Source: Communications in Partial Differential Equations, v. 4, (7), 1979, p. 739-767
- Year: 1979
-
Pseudo-differential operators with involutive double characteristics
- Author(s): Uhlmann, Gunther
- Source: Communications in Partial Differential Equations, v. 2, (7), 1977, p. 713-779
- Year: 1977
Book
-
Inverse Problems and Applications: Inside Out II
- Author(s): Uhlmann, Gunther
- Year: 2013
-
Tomography and Inverse Transport Theory
- Author(s): Bal, Guillaume P.; Kuchment, Peter; Stefanov, Plamen D.; Schotland, John; Uhlmann, Gunther
- Year: 2011
-
Partial Differential Equations and Inverse Problems
- Author(s): Conca, Carlos; Manásevich, Raúl; Uhlmann, Gunther; Vogelius, Michael S.
- Year: 2004
-
Geometric Methods in Inverse Problems and PDE Control
- Author(s): Croke, Christopher B.; Lasiecka, Irena; Uhlmann, Gunther; Vogelius, Michael S.
- Year: 2004
-
Inside Out: Inverse Problems and Applications
- Author(s): Uhlmann, Gunther
- Year: 2003
-
Inverse Problems: Theory and Applications
- Author(s): Uhlmann, Gunther; Alessandrini, Giovanni
- Year: 2003
Book chapter
-
Multi-wave methods via ultrasound
- Author(s): Stefanov, Plamen D.; Uhlmann, Gunther
- Source: Inverse Problems and Applications: Inside Out II / Edited by Gunther Uhlmann. Cambridge : Cambridge University Press, 2013, p. 271-323
- Year: 2013
-
Wave Phenomena
- Author(s): Lassas, Matti; Salo, Mikko; Uhlmann, Gunther
- Source: Handbook of Mathematical Methods in Imaging / Otmar Schetzer editor. New York: Springer-Verlag, 2011, p. 867-909
- Year: 2011
-
Commentary on Calderón's paper (29), On an inverse boundary value problem
- Author(s): Uhlmann, Gunther
- Source: Selected Papers of Alberto P. Calderón with Commentary / Edited by Alexandra Bellow, Carlos E. Kenig and Paul Malliavin. American Mathematical Society, Rhode Island, United States, 2008, p. 623-636
- Year: 2008
-
Boundary and lens rigidity, tensor tomography and analytic microlocal analysis
- Author(s): Stefanov, Plamen D.; Uhlmann, Gunther
- Source: Algebraic Analysis of Differential Equations / Fetschrift in Honor of Takahiro Kawai, edited by T. Aoki, H. Majima, Y. Katei and N. Tose, 2008, p. 275-293
- Year: 2008
-
On the Local Dirichlet-to-Neumann Map
- Author(s): Uhlmann, Gunther
- Source: New Analytic and Geometric Methods in Inverse Problems / Edited by K. Bingham, Ya. V. Kurylev and E. Somersalo. Berlin: Springer, 2004, p. 261-279
- Year: 2004
-
Microlocal analysis of the X-ray transform with sources on a curve
- Author(s): Lan, Ih-Ren; Finch, David V.; Uhlmann, Gunther
- Source: Inside Out, Inverse Problems and Applications / Gunther Uhlmann. The Press Syndicate of the University of Cambridge, The Pitt Building, Trumpington Street, Cambridge, United Kingdom, 2003, p. 193-218
- Year: 2003
-
The Cauchy data and the scattering relation
- Author(s): Uhlmann, Gunther
- Source: Geometric methods in inverse problems and PDE controI / v. 137, 2003, p. 263-288
- Year: 2003
-
Inverse boundary problems in two dimensions
- Author(s): Uhlmann, Gunther
- Source: Function Spaces, Differential Operators and Nonlinear Analysis: The Hans Triebel Anniversary Volume / Dorothee Haroske, Thomas Runst, Hans-Jürgen Schmeisser. Birkhäuser Basel, Switzerland, 2003, p. 183-203
- Year: 2003
-
Complex geometrical optics solutions and pseudoanalytic matrices
- Author(s): Nakamura, Gen; Uhlmann, Gunther
- Source: Journal of Ill-Posed and Inverse Problems / v. 10, 2002, 305–338.
- Year: 2002
-
Scattering by a metric
- Author(s): Uhlmann, Gunther
- Source: Encyclopedia on Scattering / Edited by R. Pike, P. Sabatier. Academic Press, 2002, p. 1668-1677, Chapter 6.1.5
- Year: 2002
-
Inverse scattering in anisotropic media
- Author(s): Uhlmann, Gunther
- Source: Surveys on Solution Methods for Inverse Problems / Edited by David Colton, Heinz W. Engl, Alfred Louis, Joyce R. McLaughlin, William Rundell, New York: Springer Vienna, 2001, p. 235-251
- Year: 2001
-
Developments in inverse problems since Calderon’s foundational paper
- Author(s): Uhlmann, Gunther
- Source: Harmonic Analysis and Partial Differential Equations in honor of Alberto P. Calderon / Edited by M. Christ, C. Kenig, C. Sadosky, U.S.: University of Chicago Press, 1999, p. 295–345, Chapter 19
- Year: 1999
-
A layer stripping algorithm in elastic impedance tomography
- Author(s): Nakamura, Gen; Uhlmann, Gunther
- Source: IMA Volume 90 “Inverse Problems in Wave Propagation” / Edited by G. Chavent, G. Papanicolau, P. Sacks and W. Symes, New York: Springer, 1997, p. 375-384
- Year: 1997
-
Inverse boundary value problems for elastic materials
- Author(s): Uhlmann, Gunther
- Source: Inverse Problems in Geophysical Applications (Proceedings in Applied Mathematics) /Edited by Heinz W. Engl, Alfred Karl Louis, William Rundell, Philadelphia, P.A.: SIAM, 1996, (197), p. 12–26
- Year: 1996
Conference paper
-
Visibility and invisibility
- Author(s): Uhlmann, Gunther
- Source: ICIAM 07: 6th International Congress on Industrial and Applied Mathematics, Zürich, Switzerland, 16-20 July 2007, 2009, p. 381-408
- Year: 2009
-
A phase-space formulation for elastic-wave traveltime tomography
- Author(s): Chung, Eric; Qian, Jianliang; Uhlmann, Gunther; Zhao, Hongkai
- Source: 4th Applied Inverse Problems International Conference, AIP 2007 and the 1st Congress of the Inverse Problems International Association, IPIA 2007, Vancouver, BC, Canada, 25-29 June 2007, Journal of physics. Conference series, v. 124, (1), 2008, article number 012018
- Year: 2008
-
Inverse problems, invisibility, and artificial wormholes
- Author(s): Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther
- Source: Journal of Physics: Conference Series, v. 124, 2008, article number 012005
- Year: 2007
-
Reconstruction of discontinuities in systems
- Author(s): Uhlmann, Gunther; Wang, Jenn-Nan
- Source: Journal of Physics: Conference Series, v. 73, June 2007, article number 012024
- Year: 2006
-
Inverse problems and Applications
- Author(s): Menzala, G. Perla; Uhlmann, Gunther
- Source: Special issue of Computational and Applied Mathematics, v. 25, (2-3), 2006, Petr ́opolis.
- Year: 2006
-
The scattering relation and the Dirichlet-to-Neumann map
- Author(s): Pestov, Leonid N.; Uhlmann, Gunther
- Source: 10th International Conference on Differential Equations and Mathematical Physics, Univ Alabama, Birmingham, Birmingham, AL, MAR 29-APR 02, 2005, RECENT ADVANCES IN DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, Contemporary mathematics, v. 412, 2006, p. 249-262
- Year: 2006
-
Oscillating-Decaying Solutions for Elliptic Systems
- Author(s): Nakamura, Gen; Uhlmann, Gunther; Wang, Jenn-Nan
- Source: Workshop on Inverse Problems, Multi-Scale Analysis and Homogenization, Seoul Natl Univ, Seoul, South Korea, JUN 22-24, 2005, Contemporary Mathematics, v. 408, 2006, p. 219-230
- Year: 2006
-
The inverse kinematic problem in anisotropic media
- Author(s): Uhlmann, Gunther
- Source: Proceedings of The Sixth International Conference on Mathematical and Numerical Aspects of Wave Propagation, Jyväskylä, Finland, 30 June – 4 July 2003, Mathematical and Numerical Aspects of Wave Propagation, Waves 2003, 2003, p. 39-45
- Year: 2003
-
Anisotropic conductivities that cannot be detected by EIT
- Author(s): Greenleaf, Allan; Lassas, Matti; Uhlmann, Gunther
- Source: 1st Mummy Range Workshop on Electrical Impedence Tomography, Colorado State Univ, FT Collins, Colorado, AUG 01-07, 2002, Physiological measurement, v. 24, (2), May 2003, p. 413-419
- Year: 2003
-
Recovering acoustic and elastic parameters from travel times
- Author(s): Uhlmann, Gunther; Hansen, Sönke
- Source: ASME International Mechanical Engineering Congress and Exposition, Proceedings, 2002, p. 1-6
- Year: 2002
-
Elastic impedance tomography
- Author(s): Nakamura, Gen; Uhlmann, Gunther
- Source: Proceedings of the 1995 ASME Design Engineering Technical Conference, Part C, Boston, MA, USA,17–20 September 1995, v. 84, (3), 1995, p. 987–992
- Year: 1995
-
Inverse Boundary and Scattering Problems for an Elastic Medium
- Author(s): Nakamura, Gen; Uhlmann, Gunther
- Source: Proceedings of the Second International Symposium on Inverse Problems, Paris, France, 2-4 November 1994, Inverse Problems in Engineering Mechanics, 1994, p. 165-168
- Year: 1994
-
The modified Radon transform of Lax and Phillips in scattering theory
- Author(s): Greenleaf, Allan; Uhlmann, Gunther
- Source: Proceedings of the Conference: “75 Years of the Radon transform”, ERWIN SCHRODINGER INT INST MATH PHYS, VIENNA, AUSTRIA, AUG 31-SEP 04, 1992, v. 4, 1994, p. 161–166
- Year: 1994
-
Uniqueness for Identifying Lamé Moduli by Dirichlet to Neumann Map
- Author(s): Nakamura, Gen; Uhlmann, Gunther
- Source: Proceedings of satellite conference on inverse problems in the engineering sciences, ICM-90, Kyoyo, Japan, 1991, p. 133–138
- Year: 1991
-
Generic uniqueness for determined inverse problems in 2 dimensions
- Author(s): Sun, Ziqi; Uhlmann, Gunther
- Source: Proceedings of satellite conference on inverse problems in the engineering sciences, ICM-90, Kyoto, Japan, 1991, p. 145–152
- Year: 1991
-
The Dirichlet to Neumann map and applications
- Author(s): Sylvester, John; Uhlmann, Gunther
- Source: SIAM proceedings series list, Inverse Problems in Partial Differential Equations, Humboldt State University, Arcata, California, July 29–August 4 1989
- Year: 1989
-
Microlocal Analysis and Scattering theory
- Author(s): Sylvester, John; Uhlmann, Gunther
- Source: Partial Differential Operators: Proceedings of ELAM VIII, held in Rio de Janeiro, July 14-25, 1986 (Lecture Notes in Mathematics - 1324) / edited by by Fernando A. Cardoso, Djairo G. de Figueiredo, Rafael Iorio, Orlando Lopes. Berlin: Springer (1988) p. 320-328
- Year: 1988
-
Remarks on an inverse boundary value problem
- Author(s): Sylvester, John; Uhlmann, Gunther
- Source: Proceedings Oberwolfach Conference on topics in Pseudo differential Operator, 2–8 February 1986, Lecture Notes in Mathematics, 1987, p. 430-441
- Year: 1987
-
Inverse Boundary Value Problems
- Author(s): Sylvester, John; Uhlmann, Gunther
- Source: Proceedings VIII ELAM, Rio de Janeiro, July 14–25 1986, Partial Differential Equations, Lecture Notes in Mathematics, v. 1324, 1988, p. 320–328
- Year: 1986
-
Product type conormal distributions in scattering theory
- Author(s): Uhlmann, Gunther
- Source: Dynamical Systems and Partial Differential Equations: Proceedings of the VII ELAM (Escuela Latinoamericana de Matematicas VII, Universidad Simon Bolivar, Caracas, 16-27 Junio 1984) / Edited by Lara-Carrero, Lorenzo & Jorge Lewowicz. Baldwin City, KS: Michener & Rutledge Booksellers, Inc.1986, p. 155-160
- Year: 1986
-
A functional calculus for a class of pseudodifferential operators with singular symbols
- Author(s): Antoniano, José L.; Uhlmann, Gunther
- Source: Proceedings of the Symposium on Pseudodifferential Operators and Fourier Integral Operators with Applications to Partial Differential Equations, Notre Dame, Indiana, April 2-5, 1984, Proceedings of Symposia in Pure Mathematics, v. 43, 1985, p. 5-16
- Year: 1985
-
A boundary canonical transformation for a class of operators with double characteristics
- Author(s): Uhlmann, Gunther
- Source: Proceedings of the First Chilean Symposium on Mathematics, Lecture Notes in Pure and Appl. Math., Universidad Técnica Federico Santa María, Analysis Geometry and Probability, , v. 93, 1985, p. 53–68
- Year: 1985