Article

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. 408426

An inverse problem for a quasilinear convection–diffusion equation

Author(s): Feizmohammadi, Ali; Kian, Yavar; Uhlmann, Gunther

Source: Nonlinear Analysis, v. 222, September 2022, article number 112921

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

Partial data inverse problems for quasilinear conductivity equations

Author(s): Kian, Yavar; Krupchyk, Katya; Uhlmann, Gunther Alberto Arancibia

Source: Mathematische Annalen, 11 March 2022

The DirichlettoNeumann 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, 19 September 2022

An Inverse Boundary Value Problem for a Semilinear Wave Equation on Lorentzian Manifolds

Author(s): Hintz, Peter; Uhlmann, Gunther; Zhai, Jian

Source: International Mathematics Research Notices, May 2021, article number rnab088

Optimality of increasing stability for an inverse boundary value problem

Author(s): Kow, PuZhao; Uhlmann, Gunther Alberto Arancibia; Wang, JennNan

Source: SIAM Journal on Mathematical Analysis, v. 53, (6), December 2021, p. 70627080

Local and global boundary rigidity and the geodesic Xray 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. 195

Travel Time Tomography in Stationary Spacetimes

Author(s): Uhlmann, Gunther Alberto Arancibia; Yang, Yang; Zhou, Hanming

Source: Journal of Geometric Analysis, 23 February 2021

Reconstruction of the collision kernel in the nonlinear Boltzmann equation

Author(s): Lai, RuYu; Uhlmann, Gunther Alberto Arancibia; Yang, Yang

Source: SIAM Journal on Mathematical Analysis, v. 53, (1), February 2021, p. 10491069

Inverse problems for the fractionalLaplacian with lower order nonlocal perturbations

Author(s): Bhattacharyya, Sombuddha; Ghosh, Tuhin; Uhlmann, Gunther Alberto Arancibia

Source: Transactions of the American Mathematical Society, v. 374, (5), May 2021, p. 30533075

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. 114136

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

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. 60856144

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

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

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. 18011824

The Calderón problem for the fractional Schrödinger equation

Author(s): Ghosh, Tuhin IAS; Salo, Mikko; Uhlmann, Gunther

Source: Analysis and PDE, v. 13, (2), 2020, p. 455475

Determination of SpaceTime 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. 13151367

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. 25602585

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. 455469

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

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. 681685

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, (12), February 2020, p. 765795

Uniqueness and reconstruction for the fractional Calderón problem with a single measurement

Author(s): Ghosh, Tuhin IAS; Rüland, Angkana; Salo, Mikko; Uhlmann, Gunther Alberto Arancibia

Source: Journal of Functional Analysis, v. 279, (1), July 2020, article number 108505

Xray 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. 28572919

The Geodesic Xray 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. 17071750

Numerical Inversion of ThreeDimensional Geodesic XRay 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. 12961323

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. 69496987

Inverse Problems for the Stationary Transport Equation in the Diffusion Scaling

Author(s): Lai, RuYu; Li, Qin; Uhlmann, Gunther Alberto Arancibia

Source: SIAM Journal on Applied Mathematics, v. 79, (6), December 2019, p. 23402358

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

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. 12131235

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, 2019

On an inverse boundary problem arising in brain imaging

Author(s): Deng, Youjun; Liu, Hongyu; Uhlmann, Gunther Alberto Arancibia IAS

Source: Journal of Differential Equations, 2019

Stability Estimates for Partial Data Inverse Problems for Schrödinger Operators in the High Frequency Limit

Author(s): Krupchyk, Katya; Uhlmann, Gunther Alberto Arancibia IAS

Source: Journal des Mathematiques Pures et Appliquees, February 2019

Lens Rigidity for a Particle in a YangMills Field

Author(s): Paternain, Gabriel P.; Uhlmann, Gunther Alberto Arancibia IAS; Zhou, Hanming

Source: Communications in Mathematical Physics, v. 366, (2), March 2019, p. 681707

Nonlinear Responses From The Interaction Of Two Progressing Waves At An Interface

Author(s): De Hoop, Maarten V.; Uhlmann, Gunther A. IAS; Wang, Yiran

Source: Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, v. 36, (2), March  April 2019, p. 347363

Scattering Control for the Wave Equation with Unknown Wave Speed

Author(s): Caday, Peter; de Hoop, Maarten V.; Katsnelson, Vitaly; Uhlmann, Gunther Alberto Arancibia IAS

Source: Archive for Rational Mechanics and Analysis, v.231, (1), January 2019, p. 409464

Inverse problems for advection diffusion equations in admissible geometries

Author(s): Krupchyk, Katya; Uhlmann, Gunther Alberto Arancibia IAS

Source: Communications in Partial Differential Equations, v. 43, (4), April 2018, p. 585615

Quantitative Analysis of Metal Artifacts in Xray Tomography

Author(s): Palacios, Benjamin; Uhlmann, Gunther Alberto Arancibia IAS; Wang, Yiran

Source: SIAM Journal on Mathematical Analysis, v. 50, (5), 2018, p. 49144936

Inverse Problems for Magnetic Schrödinger Operators in Transversally Anisotropic Geometries

Author(s): Krupchyk, Katya; Uhlmann, Gunther Alberto Arancibia IAS

Source: Communications in Mathematical Physics. , v. 361, (2), July 2018, p. 525582

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

On The Microlocal Snalysis of The Geodesic Xray Transform With Conjugate Points

Author(s): Holman, Sean; Uhlmann, Gunther Alberto Arancibia IAS

Source: Journal of Differential Geometry. , v. 108, (3), March 2018, p. 459494

Inversion Formulas and Range Characterizations For The Attenuated Geodesic Ray Transform

Author(s): Assylbekov, Yernat M.; Monard, Francois; Uhlmann, Gunther Alberto Arancibia IAS

Source: Journal des Mathematiques Pures et Appliquees. , v. 111, March 2018, p. 161190

Inverse Problems for Semilinear Wave Equations on Lorentzian Manifolds

Author(s): Lassas, Matti ; Uhlmann, Gunther Alberto Arancibia IAS; Wang, Yiran IAS

Source: Communications in Mathematical Physics. , v. 360, (2), June 2018, p. 555609

Tensor tomography in periodic slabs

Author(s): Ilmavirta, J.; Uhlmann, Gunther Alberto Arancibia

Source: Journal of Functional Analysis. , v. 275, (2), July 2018, p. 288299

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. 265299

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. 19211934

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

The inverse problem for the local geodesic ray transform

Author(s): Uhlmann, Gunther; Vasy, Andras

Source: Inventiones Mathematicae. , v. 205, (1), July 2016, p. 83120

The Calderón Problem with Partial Data for Conductivities with 3/2 Derivatives

Author(s): Krupchyk, Katya; Uhlmann, Gunther

Source: Communications in Mathematical Physics. , v. 348, (1), November 2016, p. 185219

Local analytic regularity in the linearized calderón problem

Author(s): Sjostrand, Johannes; Uhlmann, Gunther

Source: Analysis & PDE. , v. 9, (3), June 2016, p. 515544

The Xray transform for connections in negative curvature

Author(s): Guillarmou, Colin; Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther

Source: Communications in Mathematical Physics. , v. 343, (1), April 2016, p. 83127

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. 299332

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. 22142231

Regularized TransformationOptics 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. 671712

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. 438474

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. 14911513

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. 873897

Determining both sound speed and internal source in thermoand photoacoustic tomography

Author(s): Liu, Hongyu; Uhlmann, Gunther

Source: Inverse Problems. , v. 31, (10), September 2015, article number 105005

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

Invariant distributions, Beurling transforms and tensor tomography in higher dimensions

Author(s): Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther

Source: Mathematische Annalen. , v. 363, (12), October 2015, p. 305362

The NeumanntoDirichlet map in two dimensions

Author(s): Imanuvilov, Oleg Yu; Uhlmann, Gunther; Yamamoto, Masahiro

Source: Advances in Mathematics. , v. 281, August 2015, p. 578593

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 IAS

Source: Communications in Mathematical Physics. , v. 357, (2), January 2018, p. 569595

Inverse problems: seeing the unseen

Author(s): Uhlmann, Gunther

Source: Bulletin of Mathematical Sciences. , v. 4, (2), January 2014, p. 209279

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

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. 399428

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. 147181

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. 9931009

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. 95112

Photoacoustic and thermoacoustic tomography with an uncertain wave speed

Author(s): Oksanen, Lauri; Uhlmann, Gunther

Source: Mathematical Research Letters. , v. 21, (5), 2014, p. 11991214

Inverse Boundary Value Problem for the Stokes and the Navier–Stokes Equations in the Plane

Author(s): Lai, Ruyu; Uhlmann, Gunther; Wang, JennNan

Source: Archive for Rational Mechanics and Analysis. , v. 215, (3), 2014, p. 811829

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. 12

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. 566585

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. 15511571

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. 15961612

Increasing stability in an inverse problem for the acoustic equation

Author(s): Nagayasu, Sei; Uhlmann, Gunther; Wang, JennNan

Source: Inverse Problems. , v. 29, (2), February 2013, article number 025012

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. 57375758

Tensor tomography on surfaces

Author(s): Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther

Source: Inventiones Mathematicae. , v. 193, (1), July 2013, p. 229247

Reconstruction of coefficients in scalar secondorder 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. 16291652

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. 13671377

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. 9711055

The geodesic xray transform with fold caustics

Author(s): Stefanov, Plamen D.; Uhlmann, Gunther

Source: Analysis & PDE. , v. 5, (2), 2012, p. 219260

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

Regularity and multiscale 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. 330353

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. 14601489

Reconstructions for some coupledphysics inverse problems

Author(s): Bal, Guillaume P.; Uhlmann, Gunther

Source: Applied mathematics letters. , v. 25, (7), 2012, p. 10301033

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. 87126

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. 1016910174

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

Cloaking a sensor for threedimensional Maxwell's equations: Transformation optics approach

Author(s): Chen, Xudong; Uhlmann, Gunther

Source: Optics express. , v. 19, (21), 2011, p. 2051820530

Polarizationinvariant 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. 415423

Universal multiscale 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. 29362940

Asymptotic behavior of solutions of the stationary NavierStokes equations in an exterior domain

Author(s): Lin, ChingLung; Uhlmann, Gunther; Wang, JennNan

Source: Indiana University mathematics journal. , v. 60, (6), 2011, p. 20932106

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

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. 859877

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. 16831693

An efficient neumann seriesbased 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. 850883

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

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. 14751509

The attenuated ray transform on simple surfaces

Author(s): Salo, Mikko; Uhlmann, Gunther

Source: Journal of differential geometry. , v. 88, (1), 2011, p. 161187

Quantitative thermoacoustics and related problems

Author(s): Bal, Guillaume P.; Ren, Kui; Uhlmann, Gunther; Zhou, Ting

Source: Inverse problems. , v. 27, (5), 2011, article number 055007

Thermoacoustic tomography arising in brain imaging

Author(s): Stefanov, Plamen D.; Uhlmann, Gunther

Source: Inverse problems. , v. 27, (4), 2011, article number 045004

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. 369419

Reconstruction of penetrable obstacles in acoustic scattering

Author(s): Nagayasu, Sei; Uhlmann, Gunther; Wang, JennNan

Source: SIAM journal on mathematical analysis. , v. 43, (1), 2011, p. 189211

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

Determination of secondorder 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. 467472

Calderon's paper "On an inverse boundary value problem"

Author(s): Uhlmann, Gunther

Source: Revista matemática iberoamericana. , 2011, p. 297+

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. 2780

Quantitative strong unique continuation for the Lamé system with less regular coefficients

Author(s): Uhlmann, Gunther; Lin, ChingLung; Nakamura, Gen; Wang, JennNan

Source: Methods and Applications of Analysis. , v. 18, (1), 2011, p. 8592

Optimal threeball inequalities and quantitative uniqueness for the Stokes system

Author(s): Lin, ChingLung; Uhlmann, Gunther; Wang, JennNan

Source: Discrete and continuous dynamical systems. , v. 28, (3), 2010, p. 12731290

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. 17711798

Inverse problems with partial data in a slab

Author(s): Li, Xiaosheng; Uhlmann, Gunther

Source: Inverse problems and imaging. , v. 4, (3), 2010, p. 449462

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. 397409

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. 655691

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. 529562

Inverse diffusion theory of photoacoustics

Author(s): Bal, Guillaume P.; Uhlmann, Gunther

Source: Inverse problems. , v. 26, (8), August 2010, article Number: 085010

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. iii

Thermoacoustic tomography with variable sound speed

Author(s): Stefanov, Plamen D.; Uhlmann, Gunther

Source: Inverse problems. , v. 25, (7), 2009, article number 075011

A depthdependent stability estimate in electrical impedance tomography

Author(s): Nagayasu, Sei; Uhlmann, Gunther; Wang, JennNan

Source: Inverse problems. , v. 25, (7), 2009, article number 075001

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. 955970

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

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. 119171

Local lens rigidity with incomplete data for a class of nonsimple riemannian manifolds

Author(s): Stefanov, Plamen D.; Uhlmann, Gunther

Source: Journal of differential geometry. , v. 82, (2), 2009, p. 383409

Reconstruction of inclusions in an elastic body

Author(s): Uhlmann, Gunther; Wang, JennNan; Wu, Chintien

Source: Journal de mathématiques pures et appliquées. , v. 91, (6), 2009, p. 569582

Linearizing nonlinear 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. 28422866

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. 333

Electrical impedance tomography and Calderón's problem

Author(s): Uhlmann, Gunther

Source: Inverse problems. , v. 25, (12), 2009, article number 123011

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. 5597

Unique Continuation Property for the Elasticity with General Residual Stress

Author(s): Uhlmann, Gunther; Wang, JennNan

Source: Inverse problems and imaging. , v. 3, (2), May 2009, p. 309317

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

Complex geometrical optics solutions for anisotropic equations and applications

Author(s): Takuwa, H.; Uhlmann, Gunther; Wang, JennNan

Source: Journal of inverse and IIIposed problems. , v. 16, (8), 2008, p. 791804

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

Approximate Quantum Cloaking and AlmostTrapped States

Author(s): Greenleaf, Allan; Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther

Source: Physical Review Letters. , v. 101, (22), November 2008, Article number 220404

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. 369385

A multiscale 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. 9881017

Integral geometry of tensor fields on a class of nonsimple Riemannian manifolds

Author(s): Stefanov, Plamen D.; Uhlmann, Gunther

Source: American journal of mathematics. , v. 130, (1), 2008, p. 239268

The Xray 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. 89108

An Inverse Source Problem in Optical Molecular Imaging

Author(s): Stefanov, Plamen D.; Uhlmann, Gunther

Source: Analysis & PDE. , v. 1, (1), 2008, p. 115126

Reconstructing discontinuities using complex geometrical optics solutions

Author(s): Uhlmann, Gunther; Wang, JennNan

Source: SIAM journal on applied mathematics. , v. 68, (4), 2008, p. 10261044

Generalized backscattering and the LaxPhillips transform

Author(s): Melrose, Richard B.; Uhlmann, Gunther

Source: Serdica Mathematical Journal. , v. 34, 2008, p. 10261044

Applied Inverse Problems, Theoretical and Computational Aspects: Preface

Author(s): Uhlmann, Gunther

Source: Journal of Physics: Conference Series (First International Congress of the International Association of Inverse Problems (IPIA): Applied Inverse Problems 2007). , v. 124, no. 1

Unique continuation for hyperbolic equations with memory

Author(s): Bukhgeǐm, Alexander L.; Dyatlov, Gleb V.; Uhlmann, Gunther

Source: Journal of inverse and IIIposed problems. , v. 15, (6), 2007, p. 587598

Reconstruction of discontinuities in systems

Author(s): Uhlmann, Gunther; Wang, JennNan

Source: Journal of physics: Conference series. , v. 73, (1), 2007, article number 012024

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. 535609

Complex spherical waves for the elasticity system and probing of inclusions

Author(s): Uhlmann, Gunther; Wang, JennNan

Source: SIAM journal on mathematical analysis. , v. 38, (6), 2007, p. 19671980

Fullwave 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. 749789

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

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. 1271712734

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. 14151442

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. 467488

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. 309329

Parametrices for symmetric systems with multiplicity

Author(s): Nolan, Clifford J.; Uhlmann, Gunther

Source: Wave motion. , v. 44, (4), 2007, p. 231247

Reconstruction of obstacles immersed in an incompressible fluid

Author(s): Heck, Horst; Uhlmann, Gunther; Wang, JennNan

Source: Inverse problems and imaging. , v. 1, (1), February 2007, p. 6376

The Calderón problem for partial cauchy data

Author(s): Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther

Source: Annals of Math.. , v. 22, 2007, p. 431445

The Calderón problem with partial data

Author(s): Kenig, Carlos E. ; Sjöstrand, Johannes ; Uhlmann, Gunther

Source: Annals of mathematics. , v. 165, (2), 2007, p. 567591

Characterization and 'sourcereceiver' continuation of seismic reflection data

Author(s): De Hoop, Maarten V.; Uhlmann, Gunther

Source: Communications in Mathematical Physics. , v. 263, (1), 2006, p. 119

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. 499542

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. 6470

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. 9751003

Stable determination of generic simple metrics from the hyperbolic DirichlettoNeumann map

Author(s): Stefanov, Plamen D.; Uhlmann, Gunther

Source: International mathematics research notices. , (17), 2005, p. 10471061

Reconstruction of cracks in an inhomogeneous anisotropic medium using point sources

Author(s): Nakamura, Gen; Uhlmann, Gunther; Wang, JennNan

Source: Advances in applied mathematics. , v. 34, (3), 2005, p. 591615

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. 10931110

Oscillatingdecaying solutions, Runge approximation property for the anisotropic elasticity system and their applications to inverse problems

Author(s): Nakamura, Gen; Uhlmann, Gunther; Wang, JennNan

Source: Journal de mathématiques pures et appliquées. , v. 84, (1), 2005, p. 2154

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. 201215

Hyperbolic geometry and local DirichletNeumann map

Author(s): Isozaki, Hiroshi; Uhlmann, Gunther

Source: Advances in mathematics. , v. 188, (2), 2004, p. 294314

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. 26132632

Stability estimates for the Xray transform of tensor fields and boundary rigidity

Author(s): Stefanov, Plamen D.; Uhlmann, Gunther

Source: Duke mathematical journal. , v. 123, (3), 2004, p. 445467

On characterization of the range and inversion formulas for the geodesic Xray transform

Author(s): Pestov, Leonid N.; Uhlmann, Gunther

Source: International mathematics research notices. , (80), 2004, p. 43314347

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. 13511354

The boundary distance function and the DirichlettoNeumann map

Author(s): Pestov, Leonid N.; Uhlmann, Gunther

Source: Mathematical research letters. , v. 11, (23), 2004, p. 285297

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. 169183

Inverse Problems in Nbody scattering

Author(s): Uhlmann, Gunther; Vasy, András

Source: Contemporary Mathematics. , v.348, 2004, p. 135154

Unique continuation property for elliptic systems and crack determination in anisotropic elasticity

Author(s): Wang, JennNan; Nakamura, Gen; Uhlmann, Gunther

Source: Contemporary Mathematics. , v. 362, 2004, p, 321338

Reconstruction of cracks in an inhomogeneous anisotropic elastic medium

Author(s): Nakamura, Gen; Uhlmann, Gunther; Wang, JennNan

Source: Journal de mathématiques pures et appliquées. , v. 82, (10), 2003, p. 12511276

Anisotropic inverse problems in two dimensions

Author(s): Sun, Ziqi; Uhlmann, Gunther

Source: Inverse problems. , v. 19, (5), 2003, p. 10011010

On nonuniqueness for calderón's inverse problem

Author(s): Greenleaf, Allan; Lassas, Matti; Uhlmann, Gunther

Source: Mathematical research letters. , v. 10, (56), 2003, p. 685693

Boundary determination of a Riemannian metric by the localized boundary distance function

Author(s): Uhlmann, Gunther; Wang, JennNan

Source: Advances in applied mathematics. , v. 31, (2), 2003, p. 379387

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. 563587

The DirichlettoNeumann 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. 207221

Semiglobal boundary rigidity for Riemannian metrics

Author(s): Lassas, Matti; Sharafutdinov, Vladimir A.; Uhlmann, Gunther

Source: Mathematische Annalen. , v. 325, (4), 2003, p. 767793

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. 328352

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. 5772

Optical tomography in two dimensions

Author(s): Stefanov, Plamen D.; Uhlmann, Gunther

Source: Methods and Applications of Analysis. , v. 10, (1), 2003, p. 110

Geometrical optics for generic anisotropic materials

Author(s): Nolan, Clifford J.; Uhlmann, Gunther

Source: Contemporary Mathematics. , v. 333, 2003, p. 177185

Inverse problems in threebody scattering

Author(s): Uhlmann, Gunther; Vasy, András

Source: Contemporary Mathematics. , v. 333, 2003, p. 209215

Lowenergy inverse problems in threebody scattering

Author(s): Uhlmann, Gunther; Vasy, András

Source: Inverse problems. , v. 18, (3), 2002, p. 719736

Recovering a potential from partial Cauchy data

Author(s): Bukhgeǐm, Alexander L.; Uhlmann, Gunther

Source: Communications in partial differential equations. , v. 27, (34), 2002, p. 653668

Fixed energy inverse problem for exponentially decreasing potentials

Author(s): Vasy, András; Uhlmann, Gunther

Source: Methods and Applications of Analysis. , v. 9, 2002, p. 239247

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. 3946

Local uniqueness for the DirichlettoNeumann map via the twoplane transform

Author(s): Greenleaf, Allan; Uhlmann, Gunther

Source: Duke mathematical journal. , v. 108, (3), 2001, p. 599617

On determining a Riemannian manifold from the DirichlettoNeumann map

Author(s): Lassas, Matti; Uhlmann, Gunther

Source: Annales scientifiques de l'Ecole normale supérieure. , v. 34, (5), 2001, p. 771787

The xray transform for a nonAbelian connection in two dimensions

Author(s): Finch, David V.; Uhlmann, Gunther

Source: Inverse problems. , v. 17, (4), 2001, p. 695701

A timedependent approach to the inverse backscattering problem

Author(s): Uhlmann, Gunther

Source: Inverse problems. , v. 17, (4), 2001, p. 703716

Characteristic spacetime estimates for the wave equation

Author(s): Greenleaf, Allan; Uhlmann, Gunther

Source: Mathematische Zeitschrift. , v. 236, (1), 2001, p. 113131

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. 303311

Travel time tomography

Author(s): Uhlmann, Gunther

Source: Journal of the Korean Mathematical Society. , v. 38, (4), 2001, p. 711722

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. 93110

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. 18791891

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. 283288

Rigidity for metrics with the same lengths of Geodesics

Author(s): Stefanov, Plamen D.; Uhlmann, Gunther

Source: Mathematical research letters. , v. 5, (12), 1998, p. 8396

Uniqueness for a wave propagation inverse problem in a halfspace

Author(s): Lassas, Matti; Cheney, Margaret; Uhlmann, Gunther

Source: Inverse problems. , v. 14, (3), 1998, p. 679684

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. 330358

Inverse Boundary Value Problems for Partial Differential Equations

Author(s): Uhlmann, Gunther

Source: Documenta Mathematica. , Extra Volume ICM 98, v. III, 1998, 77–86

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, (56), 1997, p. 10091027

Inverse backscattering for the acoustic equation

Author(s): Stefanov, Plamen D.; Uhlmann, Gunther

Source: SIAM journal on mathematical analysis. , v. 28, (5), 1997, p. 11911204

Inverse problems in quasilinear anisotropic media

Author(s): Sun, Ziqi; Uhlmann, Gunther

Source: American journal of mathematics. , v. 119, (4), 1997, p. 771797

Inverse problems in nonlinear media

Author(s): Sun, Ziqi; Uhlmann, Gunther

Source: Journées équations aux dérivées partielles. , SaintJean des Monts, v. XIV, 1996, p. 1–11

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. 377388

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. 263279

Global uniqueness for an inverse boundary problem arising in elasticity

Author(s): Nakamura, Gen; Uhlmann, Gunther

Source: Inventiones mathematicae. , v. 118, (1), 1994, p. 457474

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. 549572

Recovery of singularities for formally determined inverse problems

Author(s): Sun, Ziqi; Uhlmann, Gunther

Source: Communications in Mathematical Physics. , v. 153, (3), 1993, p. 431445

Identification of Lame parameters from boundary measurements

Author(s): Nakamura, Gen; Uhlmann, Gunther

Source: American journal of mathematics. , v. 115, (5), October 1993, p. 11611187

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. 363374

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

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. 7193

Inverse BoundaryValueProblems and Applications

Author(s): Uhlmann, Gunther

Source: Astérisque. , v. 207, 1992, p. 153211

Microlocal analysis of the twoplane transform

Author(s): Greenleaf, Allan; Uhlmann, Gunther

Source: Contemporary Mathematics. , v. 140, 1992, p. 65–71

Composition of some singular Fourier integral operators and estimates for restricted xray transforms 2

Author(s): Greenleaf, Allan; Uhlmann, Gunther

Source: Duke mathematical journal. , v. 64, (3), December 1991, p. 415444

Generic uniqueness for an inverse boundary value problem

Author(s): Sun, Ziqi; Uhlmann, Gunther

Source: Duke Mathematical Journal. , v. 62, (1), February 1991, p. 131155

Inverse problems in anisotropic media

Author(s): Sylvester, John; Uhlmann, Gunther

Source: Contemporary Mathematics. , v. 122, 1991, p. 105–117

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. 202232

Composition of some singular Fourier integral operators and estimates for restricted Xray transforms

Author(s): Greenleaf, Allan; Uhlmann, Gunther

Source: Annales de l'institut Fourier. , v. 40, (2), 1990, p. 443466

Microlocal techniques in integral geometry

Author(s): Greenleaf, Allan; Uhlmann, Gunther

Source: Contemporary Mathematics. , v. 113, 1990, p. 121–135

Determining anisotropic realanalytic conductivities by boundary measurements

Author(s): Lee, John M.; Uhlmann, Gunther

Source: Communications on Pure and Applied Mathematics. , v. 42, (8), December 1989, p. 10971112

Nonlocal inversion formulas for the Xray transform

Author(s): Greenleaf, Allan; Uhlmann, Gunther

Source: Duke Mathematical Journal. , v. 58, (1), February 1989, p. 205240

An ndimensional BorgLevinson theorem

Author(s): Nachman, Adrian I.; Sylvester, John; Uhlmann, Gunther

Source: Communications in Mathematical Physics. , v. 115, (4), 1988, p. 595605

Inverse BoundaryValue 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. 197219

Inverse Boundary Value Problems

Author(s): Sylvester, John; Uhlmann, Gunther

Source: Lecture Notes in Mathematics. , v. 1324, 1988, p. 320328

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. 153169

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. 91112

Scattering by a potential

Author(s): Uhlmann, Gunther

Source: Lecture Notes in Spanish, Acta Cientifica Venezolana. , v. 36, 1985, p. 118

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. 187217

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. 172176

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. 252256

Light intensity distribution in conical refraction

Author(s): Uhlmann, Gunther

Source: Communications on Pure and Applied Mathematics. , v.35, (1), 1982, p. 6980

Oscillatory integrals with singular symbols

Author(s): Guillemin, Victor; Uhlmann, Gunther

Source: Duke Mathematical Journal. , v. 48, (1), 1981, p. 251267

Parametrices for operators with multiple involutive characteristics

Author(s): Uhlmann, Gunther

Source: Communications in Partial Differential Equations. , v. 4, (7), 1979, p. 739767

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. 483519

Microlocal structure of involutive conical refraction

Author(s): Melrose, Richard B.; Uhlmann, Gunther

Source: Duke Mathematical Journal. , v. 46, (3), 1979, p. 571582

Pseudodifferential operators with involutive double characteristics

Author(s): Uhlmann, Gunther

Source: Communications in Partial Differential Equations. , v. 2, (7), 1977, p. 713779
Book

Inverse Problems and Applications: Inside Out II

Author(s): Uhlmann, Gunther

Source: Inverse Problems and Applications: Inside Out II (Mathematical Sciences Research Institute Publications: Book 60). , / Edited by Gunther Uhlmann. Cambridge University Press, 2013

Tomography and Inverse Transport Theory

Author(s): Bal, Guillaume P.; Kuchment, Peter; Stefanov, Plamen D.; Schotland, John; Uhlmann, Gunther

Source: Tomography and Inverse Transport Theory, Contemporary Mathematics vol. 559. , / Guillaume Bal, Peter Kuchment, Plamen Stefanov, Gunther Uhlmann. AMS, 2011

Geometric Methods in Inverse Problems and PDE Control

Author(s): Croke, Christopher B.; Lasiecka, Irena; Uhlmann, Gunther; Vogelius, Michael S.

Source: Geometric Methods in Inverse Problems and PDE Control (The IMA Volumes in Mathematics and its Applications, Vol. 137). , / edited by Christopher B. Croke, Irena, Lasiecka, Gunther Uhlmann, Michael S. Vogelius. SpringerVerlag, 2004

Partial Differential Equations and Inverse Problems

Author(s): Conca, Carlos; Manásevich, Raúl; Uhlmann, Gunther; Vogelius, Michael S.

Source: Partial Differential Equations and Inverse Problems (Contemporary Mathematics. Volume: 362). , / Edited by: Carlos Conca, Raúl Manásevich, Gunther Uhlmann, and Michael S. Vogelius. Providence: American Mathematical Society, 2004

Inside Out: Inverse Problems and Applications

Author(s): Uhlmann, Gunther

Source: Inside Out: Inverse Problems and Applications (Mathematical Sciences Research Institute Publications: Book 47). , / by edited by Gunther Uhlmann. Cambridge, United Kingdom, Cambridge University Press, 2003

Inverse Problems: Theory and Applications

Author(s): Uhlmann, Gunther; Alessandrini, Giovanni

Source: Inverse Problems: Theory and Applications (Contemporary Mathematics, Volume: 333). , / Giovanni Alessandrini and Gunther Uhlmann, Editors. Providence: American Mathematical Society, 2003
Book chapter

Multiwave 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. 271323

Wave Phenomena

Author(s): Lassas, Matti; Salo, Mikko; Uhlmann, Gunther

Source: Handbook of Mathematical Methods in Imaging. , / Otmar Schetzer editor. New York: SpringerVerlag, 2011, p. 867909

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. 275293

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. 623636

On the Local DirichlettoNeumann 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. 261279

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, HansJürgen Schmeisser. Birkhäuser Basel, Switzerland, 2003, p. 183203

The Cauchy data and the scattering relation

Author(s): Uhlmann, Gunther

Source: Geometric methods in inverse problems and PDE controI. , v. 137, 2003, p. 263288

Microlocal analysis of the Xray transform with sources on a curve

Author(s): Lan, IhRen; 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. 193218

Scattering by a metric

Author(s): Uhlmann, Gunther

Source: Encyclopedia on Scattering. , / Edited by R. Pike, P. Sabatier. Academic Press, 2002, p. 16681677, Chapter 6.1.5

Complex geometrical optics solutions and pseudoanalytic matrices

Author(s): Nakamura, Gen; Uhlmann, Gunther

Source: Journal of IllPosed and Inverse Problems. , v. 10, 2002, 305–338.

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. 235251

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

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. 375384

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
Conference paper

Visibility and invisibility

Author(s): Uhlmann, Gunther

Source: ICIAM 07: 6th International Congress on Industrial and Applied Mathematics, Zürich, Switzerland, 1620 July 2007. , 2009, p. 381408

A phasespace formulation for elasticwave 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, 2529 June 2007, Journal of physics. Conference series. , v. 124, (1), 2008, article

OscillatingDecaying Solutions for Elliptic Systems

Author(s): Nakamura, Gen; Uhlmann, Gunther; Wang, JennNan

Source: Workshop on Inverse Problems, MultiScale Analysis and Homogenization, Seoul Natl Univ, Seoul, South Korea, JUN 2224, 2005, Contemporary Mathematics. , v. 408, 2006, p. 219230

The scattering relation and the DirichlettoNeumann map

Author(s): Pestov, Leonid N.; Uhlmann, Gunther

Source: 10th International Conference on Differential Equations and Mathematical Physics, Univ Alabama, Birmingham, Birmingham, AL, MAR 29APR 02, 2005, RECENT ADVANCES IN DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, Contemporary mathematics. , v. 412, 2006,

Inverse problems and Applications

Author(s): Menzala, G. Perla; Uhlmann, Gunther

Source: Special issue of Computational and Applied Mathematics. , v. 25, (23), 2006, Petr ́opolis.

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 0107, 2002, Physiological measurement. , v. 24, (2), May 2003, p. 413419

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. 3945

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. 16

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

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 31SEP 04, 1992. , v. 4, 1994, p. 161–166

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, 24 November 1994, Inverse Problems in Engineering Mechanics. , 1994, p. 165168

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, ICM90, Kyoto, Japan. , 1991, p. 145–152

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, ICM90, Kyoyo, Japan. , 1991, p. 133–138

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

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 1425, 1986 (Lecture Notes in Mathematics  1324). , / edited by by Fernando A. Cardoso, Djairo G. de Figueiredo, Rafael Iorio, Orlando Lopes. Berlin: Springer (1988) p

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. 430441

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, 1627 Junio 1984). , / Edited by LaraCarrero, Lorenzo & Jorge Lewowicz. Baldwin City, KS: M

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

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

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 25, 1984, Proceedings of Symposia in Pure Mathematics. , v. 43, 1985, p. 516
Other

Preface: Applied Inverse Problems, Theoretical and Computational Aspects

Author(s): Uhlmann, Gunther

Source: Journal of Physics: Conference Series, v. 124, 2008
Preprint

Full and Partial Cloaking in Electromagnetic Scattering

Author(s): Deng, Youjun; Liu, Hongyu; Uhlmann, Gunther

Source: arXiv. , September 2015, Article number 1509.01336

On the stable recovery of a metric from the hyperbolic DN map with incomplete data

Author(s): Stefanov, Plamen D.; Uhlmann, Gunther; Vasy, András

Source: arXiv. , May 2015, Article number 1505.02853

Lp bounds on eigenfunctions for operators with double characteristics

Author(s): Krupchyk, Katsiaryna; Uhlmann, Gunther

Source: arXiv. , April 2015, Article number 1504.01069

On the microlocal analysis of the geodesic Xray transform with conjugate points

Author(s): Holman, Sean F.; Uhlmann, Gunther

Source: arXiv. , Feb 2015, Article number 1502.06545

On regularized fulland partialcloaks in acoustic scattering

Author(s): Deng, Youjun; Liu, Hongyu; Uhlmann, Gunther

Source: arXiv. , Feb 2015, Article number 1502.01174

Inverting the local geodesic Xray transform on tensors

Author(s): Stefanov, Plamen D.; Uhlmann, Gunther; Vasy, András

Source: arXiv. , Oct 2014, Article number 1410.5145

Superdimensional Metamaterial Resonators

Author(s): Greenleaf, Allan; Kettunen, Henrik; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther

Source: arXiv. , September 2014, Article number 1409.3608

