gunther

UHLMANN, Gunther

(PhD Massachusetts Inst of Tech)

Phone: (852) 3469 2460
Email: gunther@ust.hk
Office: IAS 4010

Chair Professor / IAS Si Yuan Professor



Research Interests

Inverse Problems and Imaging, Partial Differential Equations, Microlocal Analysis, Scattering Theory

Awards & Honors

  • 2021 Birkhoff Prize in Applied Mathematics   (2021)

Selected Publications

  Article

  1. 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

  2. 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

  3. 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

  4. 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

  5. Determination of the density in a nonlinear elastic wave equation
    • Author(s): Uhlmann, Gunther; Zhai, Jian
    • Source: Mathematische Annalen, March 2024
    • Year: 2024

  6. 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

  7. 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

  8. 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

  9. 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

  10. 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

  11. 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

  12. 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

  13. 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

  14. 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

  15. 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

  16. 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

  17. 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

  18. 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

  19. 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

  20. 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

  21. 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

  22. 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

  23. 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

  24. 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

  25. 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

  26. 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

  27. 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

  28. 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

  29. 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

  30. 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

  31. 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

  32. 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

  33. 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

  34. 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

  35. 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

  36. 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

  37. 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

  38. 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

  39. 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

  40. 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

  41. 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

  42. 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

  43. 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

  44. 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

  45. 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

  46. 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

  47. 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

  48. 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

  49. 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

  50. 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

  51. 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

  52. 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

  53. 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

  54. 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

  55. 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

  56. 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

  57. 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

  58. 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

  59. 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

  60. 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

  61. 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

  62. 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

  63. 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

  64. 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

  65. 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

  66. 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

  67. 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

  68. 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

  69. 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

  70. 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

  71. 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

  72. 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

  73. 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

  74. 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

  75. 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

  76. 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

  77. 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

  78. 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

  79. 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

  80. 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

  81. 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

  82. 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

  83. Inverse problems: seeing the unseen
    • Author(s): Uhlmann, Gunther
    • Source: Bulletin of Mathematical Sciences, v. 4, (2), January 2014, p. 209-279
    • Year: 2014

  84. 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

  85. 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

  86. 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

  87. 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

  88. 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

  89. 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

  90. 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

  91. 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

  92. 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

  93. 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

  94. 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

  95. 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

  96. 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

  97. 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

  98. 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

  99. 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

  100. 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

  101. 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

  102. 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

  103. 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

  104. 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

  105. 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

  106. 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

  107. 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

  108. 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

  109. 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

  110. 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

  111. Calderon's paper "On an inverse boundary value problem"
    • Author(s): Uhlmann, Gunther
    • Source: Revista matemática iberoamericana, 2011, p. 297+
    • Year: 2011

  112. 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

  113. 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

  114. 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

  115. 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

  116. 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

  117. 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

  118. 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

  119. 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

  120. 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

  121. 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

  122. 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

  123. 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

  124. 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

  125. 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

  126. 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

  127. 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

  128. 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

  129. 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

  130. 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

  131. 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

  132. 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

  133. 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

  134. 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

  135. 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

  136. 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

  137. 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

  138. 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

  139. 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

  140. Electrical impedance tomography and Calderón's problem
    • Author(s): Uhlmann, Gunther
    • Source: Inverse problems, v. 25, (12), 2009, article number 123011
    • Year: 2009

  141. 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

  142. 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

  143. 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

  144. 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

  145. 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

  146. 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

  147. 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

  148. 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

  149. 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

  150. 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

  151. 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

  152. 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

  153. 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

  154. 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

  155. 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

  156. 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

  157. 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

  158. 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

  159. 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

  160. 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

  161. 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

  162. 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

  163. 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

  164. 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

  165. 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

  166. 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

  167. 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

  168. 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

  169. 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

  170. 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

  171. 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

  172. 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

  173. 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

  174. 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

  175. 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

  176. 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

  177. 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

  178. Inverse Problems in N-body scattering
    • Author(s): Uhlmann, Gunther; Vasy, András
    • Source: Contemporary Mathematics, v.348, 2004, p. 135-154
    • Year: 2004

  179. 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

  180. 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

  181. 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

  182. 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

  183. 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

  184. 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

  185. 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

  186. 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

  187. 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

  188. Inverse problems in three-body scattering
    • Author(s): Uhlmann, Gunther; Vasy, András
    • Source: Contemporary Mathematics, v. 333, 2003, p. 209-215
    • Year: 2003

  189. Geometrical optics for generic anisotropic materials
    • Author(s): Nolan, Clifford J.; Uhlmann, Gunther
    • Source: Contemporary Mathematics, v. 333, 2003, p. 177-185
    • Year: 2003

  190. 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

  191. 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

  192. 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

  193. 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

  194. 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

  195. 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

  196. 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

  197. Anisotropic inverse problems in two dimensions
    • Author(s): Sun, Ziqi; Uhlmann, Gunther
    • Source: Inverse problems, v. 19, (5), 2003, p. 1001-1010
    • Year: 2003

  198. 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

  199. 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

  200. 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

  201. 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

  202. 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

  203. 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

  204. Travel time tomography
    • Author(s): Uhlmann, Gunther
    • Source: Journal of the Korean Mathematical Society, v. 38, (4), 2001, p. 711-722
    • Year: 2001

  205. 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

  206. 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

  207. 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

  208. 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

  209. 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

  210. 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

  211. 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

  212. 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

  213. 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

  214. 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

  215. 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

  216. 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

  217. 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

  218. 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

  219. 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

  220. 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

  221. 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

  222. 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

  223. 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

  224. 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

  225. 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

  226. 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

  227. 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

  228. 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

  229. 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

  230. 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

  231. Microlocal analysis of the two-plane transform
    • Author(s): Greenleaf, Allan; Uhlmann, Gunther
    • Source: Contemporary Mathematics, v. 140, 1992, p. 65–71
    • Year: 1992

  232. Inverse Boundary-Value-Problems and Applications
    • Author(s): Uhlmann, Gunther
    • Source: Astérisque, v. 207, 1992, p. 153-211
    • Year: 1992

  233. Inverse problems in anisotropic media
    • Author(s): Sylvester, John; Uhlmann, Gunther
    • Source: Contemporary Mathematics, v. 122, 1991, p. 105–117
    • Year: 1991

  234. 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

  235. 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

  236. Microlocal techniques in integral geometry
    • Author(s): Greenleaf, Allan; Uhlmann, Gunther
    • Source: Contemporary Mathematics, v. 113, 1990, p. 121–135
    • Year: 1990

  237. 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

  238. 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

  239. 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

  240. 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

  241. Inverse Boundary Value Problems
    • Author(s): Sylvester, John; Uhlmann, Gunther
    • Source: Lecture Notes in Mathematics, v. 1324, 1988, p. 320-328
    • Year: 1988

  242. 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

  243. 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

  244. 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

  245. 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

  246. Scattering by a potential
    • Author(s): Uhlmann, Gunther
    • Source: Lecture Notes in Spanish, Acta Cientifica Venezolana, v. 36, 1985, p. 1-18
    • Year: 1985

  247. 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

  248. 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

  249. 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

  250. 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

  251. Oscillatory integrals with singular symbols
    • Author(s): Guillemin, Victor; Uhlmann, Gunther
    • Source: Duke Mathematical Journal, v. 48, (1), 1981, p. 251-267
    • Year: 1981

  252. 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

  253. 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

  254. 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

  255. 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

  1. Inverse Problems and Applications: Inside Out II
    • Author(s): Uhlmann, Gunther
    • Year: 2013

  2. Tomography and Inverse Transport Theory
    • Author(s): Bal, Guillaume P.; Kuchment, Peter; Stefanov, Plamen D.; Schotland, John; Uhlmann, Gunther
    • Year: 2011

  3. Partial Differential Equations and Inverse Problems
    • Author(s): Conca, Carlos; Manásevich, Raúl; Uhlmann, Gunther; Vogelius, Michael S.
    • Year: 2004

  4. Geometric Methods in Inverse Problems and PDE Control
    • Author(s): Croke, Christopher B.; Lasiecka, Irena; Uhlmann, Gunther; Vogelius, Michael S.
    • Year: 2004

  5. Inside Out: Inverse Problems and Applications
    • Author(s): Uhlmann, Gunther
    • Year: 2003

  6. Inverse Problems: Theory and Applications
    • Author(s): Uhlmann, Gunther; Alessandrini, Giovanni
    • Year: 2003

  Book chapter

  1. 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

  2. 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

  3. 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

  4. 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

  5. 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

  6. 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

  7. 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

  8. 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

  9. 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

  10. 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

  11. 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

  12. 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

  13. 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

  14. 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

  1. 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

  2. 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

  3. 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

  4. 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

  5. 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

  6. 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

  7. 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

  8. 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

  9. 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

  10. 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

  11. 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

  12. 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

  13. 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

  14. 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

  15. 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

  16. 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

  17. 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

  18. 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

  19. 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

  20. 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

  21. 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

  22. 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