Papers, 2005-Present (Warning: The file of the paper might not coincide with the published version). Work partly supported by NSF grants.
Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.
Books
Paternain, Gabriel; Salo, Miko; Uhlmann, Gunther
Geometric Inverse Problems, With Emphasis in Two Dimensions
Cambridge University Press (2023)
Books Edited
Inside-Out, Inverse Problems and Applications
MSRI publication 47, Cambridge University Press (2003).
Inverse Problems and Applications
Joint with G. Alessandrini
Contemporary Math AMS, Volume 333 (2003).
Geometric Methods in Inverse Problems and boundary Control
Joint with C. Croke, I. Lasieka and M. Vogelius
IMA Publications, Vol. 137, Springer-Verlag (2004).
Partial Differential Equations and Inverse Problems
Joint with C. Conca, R. Manasevich and M. Vogelius
Contemporary Math 362 (2004).
Seminar on Inverse problems and Applications
Co-Editor with G. Perla Menzala
Special issue of Computational and Applied Mathematics, vol 25, no. 2-3 Petropolis. (2006)
- This issue was dedicated to celebrate the 25 years of the foundation of LNCC and 25 years of the seminal paper of A. P. Calderon “On an inverse boundary value problem.”
Journal of Physics Conference Series Vol. 124
Applied Inverse Problems, Theoretical and Computational Aspects (2008).
Methods and Applications of Analysis
Co-Guest Editor with T.-S. Chung, M. Yamamoto and J. Zou
Vol. 17 (2010) and Vol. 1 (2011).
Tomography and Inverse Transport Theory
Co-Editor
Contemporary Math Vol. 559 (2012).
Inside-Out, Vol II. MSRI Publications Vol. 60
Cambridge University Press, 2012.
Special issue on complex geometrical optics (CGO) solutions
Co-Editor
Inverse Probl. Imaging 8 (2014), no. 4.
Preprints:
Kian, Yavar; Uhlmann, Gunther
Determination of the sound speed and an initial source in photoacoustic tomography
Preprint.
Lin, Ching-Lung; Lin, Yi-Hsuan; Uhlmann, Gunther
The Calderón problem for nonlocal parabolic operators
Preprint.
Lai, Ru-Yu; Uhlmann, Gunther; Zhou, Hanming
Recovery of coefficients in semilinear transport equations
Preprint.
Ilmavirta, Joonas; Uhlmann, Gunther
Breaking the conformal invariance with supernova neutrino tomography
Preprint.
Ghosh, Tuhin; Uhlmann, Gunther
The Calderón problem for nonlocal operators
Preprint.
Feizmohammadi, Ali; Ghosh, Tuhin; Krupchyk, Katya; Uhlmann, Gunther
Fractional anisotropic Calderón problem on closed Riemannian manifolds
Preprint.
Uhlmann, Gunther; Wang, Yiran
The anisotropic Calderón problem for fixed high frequency
Preprint.
Lassas, Matti; Uhlmann, Gunther; Wang, Yiran
Determination of vacuum space-times from the Einstein-Maxwell equations
Preprint.
Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther
Linearization Stability Results and Active Measurements for the Einstein-Scalar Field Equations
Preprint.
Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther
Determination of structures in the space-time from local measurements: a detailed exposition.
Preprint.
Greenleaf, Allan; Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther
Comment on "Scattering Theory Derivation of a 3D Acoustic Cloaking Shell".
Preprint.
To Appear:
Uhlmann, Gunther; Zhang, Yang
An inverse boundary value problem arising in nonlinear acoustics
To appear, SIAM J. Math Analysis
Uhlmann, Gunther; Wang, Yiran
Recovery of black hole mass from a single quasinormal mode
To appear, Comm. Math. Physics.
Quan, Hadrian; Uhlmann, Gunther
The Calderón problem for the fractional Dirac operator
To appear, Math. Research Letters.
Oksanen, Lauri; Salo, Mikko; Stefanov, Plamen; Uhlmann, Gunther
Inverse Problems for Real Principal Type Operators
To appear, American Journal of Math.
Krupchyk, Katya; Uhlmann, Gunther; Yan, Lili
A remark on inverse problems for nonlinear magnetic Schrödinger equations on complex manifolds
To appear, Proceedings of the American Math. Soc.
Krupchyk, Katya; Uhlmann, Gunther
Inverse problems for nonlinear magnetic Schrödinger equations on conformally transversally anisotropic manifolds
To appear, Analysis and PDE
Kian, Yavar; Krupchyk, Katya; Uhlmann, Gunther
Partial data inverse problems for quasilinear conductivity equations
To appear, Math. Annalen.
Feizmohammadi, Ali; Kian, Yavar; Uhlmann, Gunther
An inverse problem for a quasilinear convection--diffusion equation
To appear, Nonlinear Analysis
Uhlmann, Gunther; Zhou, Hanming
Journey to the Center of the Earth
To appear, Proceedings International Congress of Mathematical Physics, 2015.
Published:
Kian, Yavar; Uhlmann, Gunther
Recovery of nonlinear terms for reaction diffusion equations from boundary measurements
Archive for Rational Mechanics and Analysis, 247 (2023), no. 1, 6.
Carstea, Catalin; Ghosh, Tuhin; Uhlmann, Gunther
An inverse problem for the porous medium equation with a possibly absorption term
SIAM J. Math. Analysis, 55 (2023), 162–185.
Uhlmann, Gunther; Zhang, Yang
Inverse boundary value problems for wave equations with quadratic nonlinearities
J. Differential Equations, 309 (2022), 558–607
Lai, Ru-Yu; Uhlmann, Gunther; Zhai, Gunther; Zhou, Hanming
Single pixel X-ray transform and related inverse problems
SIAM J. Imag. Sciences, 15 (2022), 1894–1909.
Kurylev, Yaroslav; Lassas, Matti; Oksanen, Lauri; Uhlmann, Gunther
Inverse Problems for Einstein-Scalar Field Equations
Duke Math. J., 171 (2022), 3215–3282.
Krupchyk, Katya; Salo, Mikko; Uhlmann, Gunther; Wang, Jenn-Nan
On the scientific work of Victor Isakov
Inverse Problems and Imaging, 16 (2022), 1429–1445.
Hintz, Peter; Uhlmann, Gunther; Zhai, Jian
An inverse boundary value problem for a semilinear wave equation on Lorentzian manifolds
International Math. Research Notices (IMRN), 17 (2022), 13181–13211.
Covi, Giovanni; Mönkkönen, Keijo; Railo, Jesse; Uhlmann, Gunther
The Higher Order Fractional Calderón Problem for Linear Local Operators: Uniqueness
Advances in Math, 399 (2022), 108246
Bhattacharyya, Sombuddha; de Hoop, Maarten; Katsnelson, Vitaly; Uhlmann, Gunther
Recovery of piecewise smooth density and Lamé parameters from high-frequency exterior Cauchy data
SIAM J. Imaging Sciences, 15 (2022), 1910–1943.
Bhattacharyya, Sombuddha; de Hoop, Maarten; Katsnelson, Vitaly; Uhlmann, Gunther
Recovery of wave speeds and density of mass across a heterogeneous smooth interface from acoustic and elastic wave reflection operators
GEM Int. J. Geomath., 13 (2022), no. 1, Paper No. 9, 46 pp.
Barreto, Antônio Sá; Uhlmann, Gunther; Wang, Yiran
Inverse Scattering for Critical Semilinear Wave Equations
Pure and Applied Analysis, 4 (2022), 191–223.
Acosta, Sebastian; Uhlmann, Gunther; Zhai, Jian
Nonlinear ultrasound imaging modeled by a Westervelt equation
SIAM J. Appl. Math, 82 (2022), 408-426.
Uhlmann, Gunther; Zhai, Jian
On an Inverse Boundary Value Problem For A Nonlinear Elastic Wave Equation
Journal des Mathematiques Pures et Appliquees, 153 (2021), 114-136.
Uhlmann, Gunther; Yang, Yang; Zhou, Hanming
Travel Time Tomography in Stationary Spacetimes
Journal of Geometric Analysis, 31 (2021), 9573 - 9596.
Stefanov, Plamen; Uhlmann, Gunther; Vasy, Andras
The transmission problem in linear isotropic elasticity
Pure and Applied Analysis, 3 (2021), 109-161.
Stefanov, Plamen; Uhlmann Gunther; Vasy, Andras
Local and global boundary rigidity and the geodesic X-ray transform in the normal gauge
Annals of Math., 194 (2021), 1-95.
Lai, Ru-Yu; Uhlmann, Gunther; Yang, Yang
Reconstruction of the Collision Term in the Nonlinear Boltzmann Equation
SIAM J. Math Analysis, 53, (2021), 1049 - 1069.
Kow, Pu-Zhao; Uhlmann, Gunther; Wang, Jenn-Nan
Optimality of increasing stability for an inverse boundary value problem
SIAM J. Math. Anal..bf 53 (2021), 7062–7080.
Feizmohammadi, Ali; Krupchyk, Katya; Oksanen, Lauri; Uhlmann, Gunther
Reconstruction in the Calderón problem on conformally transversally anisotropic manifolds
J. Functional Analysis, 281 (2021), 109191.
de Hoop, Maarten V.; Saksala, Teemu; Uhlmann, Gunther; Zhai, Jian
Generic uniqueness and stability for mixed ray transforms
Transaction of the AMS, 374 (2021), 6085-6144.
Caday, Peter; de Hoop, Maarten; Katsnelson, Vitaly; Uhlmann, Gunther
Recovery of discontinuous Lamé parameters from local dynamic boundary data
Comm. in PDE, 46(2021), 680-715.
Bhattacharyya, Sombuddha; Ghosh, Tuhin; Uhlmann, Gunther
Inverse Problem for Fractional-Laplacian with Lower Order Non-local Perturbations
Trans. Amer. Math. Soc., 374 (2021), 3053-3075.
Uhlmann, Gunther; Wang, Yiran
Determination of space-time structures from gravitational perturbations
Comm. Pure and Appl. Math., 73 (2020), 1315–1367
Uhlmann, Gunther; Wang, Yiran
Convolutional neural networks in phase space and inverse problems
SIAM J. Appl. Math., 80(6) (2020), 2560–2585. (26 pages)
Muñoz, Claudio; Uhlmann, Gunther
The Calderón problem for quasilinear elliptic equations
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 37 (2020), 1143-1166
Lassas, Matti; Oksanen, Lauri; Stefanov, Plamen; Uhlmann, Gunther
The Light Ray transform on Lorentzian manifolds
Commun. Math. Phys. 377 (2020), 1349–1379.
Krupchyk, Katya; Uhlmann, Gunther
Partial data inverse problems for semilinear elliptic equations with gradient nonlinearities
Mathematics Research Letters, 27 (2020), 1801-1824.
Krupchyk, Katya; Uhlmann, Gunther
A remark on partial data inverse problems for semilinear elliptic equations
Proc. Amer. Math. Soc. 148 (2020), 681-685
Ghosh, Tuhin; Salo, Mikko; Uhlmann, Gunther
The Calderón problem for the fractional Schrödinger equation
Anal. PDE 13 (2020), 455–475.
Ghosh, Tuhin; Rüland, Angkana; Salo, Mikko; Uhlmann, Gunther
Uniqueness and reconstruction for the fractional Calderón problem with a single measurement
Journal of Functional Analysis 279 (2020), 108505.
de Hoop, Maarten; Uhlmann, Gunther; Wang, Yiran
Nonlinear interaction of waves in elastodynamics and an inverse problem
Mathematische Annalen volume, 376 (2020), pages765–795
de Hoop, Maarten; Uhlmann, Gunther; Vasy, Andras
Recovery of material parameters in transversely isotropic media
Arch Rational Mech Anal, 235 (2020), 141–165
Paternain, Gabriel; Uhlmann, Gunther; Zhou, Hanming
Lens rigidity for a particle in a Yang-Mills field
Comm. Math. Phys. 366 (2019), 681–707.
Lai, Ru-Yu; Li, Qin; Uhlmann, Gunther
Inverse problems for the stationary transport equation in the diffusion scaling
SIAM J. Appl. Math., 79 (2019), 2340–2358.
Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther
Inverse Problems in Spacetime II: Reconstruction of a Lorentzian Manifold From Light Observation Sets
International Math. Research Notices (IMRN), 22 (2019), 6949–6987
Krupchyk, Katya; Uhlmann, Gunther
Stability estimates for partial data inverse problems for Schrödinger operators in the high frequency limit
Journal des Math´ematiques Pures et Appliqu´ees, 126 (2019), 273–291.
Hintz, Peter; Uhlmann, Gunther
Reconstruction of Lorentzian manifolds from boundary light observation sets
International Math. Research Notices (IMRN), 22 (2019), 6949–6987.
Graham, C. Robin; Guillarmou, Colin; Stefanov, Plamen; Uhlmann, Gunther
X-ray transform and boundary rigidity for asymptotically hyperbolic manifolds
Annals of the Fourier Institute, Tome 69 No. 7 (2019), 2857-2919.
Deng, Youjun; Liu Hongyu; Uhlmann Gunther
On an inverse boundary problem arising in brain imaging
J. Differential Equations, 267 (2019), 2471–2502.
de Hoop, Maarten; Uhlmann, Gunther; Zhai, Jian
Inverting the local geodesic ray transform of higher rank tensors
Inverse Problems, 35 (2019), 115009.
de Hoop, Maarten; Uhlmann, Gunther; Wang, Yiran
Nonlinear responses from the interaction of two progressing waves at an interface
Annales de l'Institute Henri Poincar\'e, Analyse Non-Lin\'eaire., 36 (2019), 347-363.
Caday, Peter; De Hoop, Maarten; Katsnelson, Vitaly; Uhlmann, Gunther
Reconstruction of piecewise smooth wave speeds using multiple scattering
Trans. Amer. Math. Soc., 372 (2019), 1213-1235
Caday, Peter; De Hoop, Maarten; Katsnelson, Vitaly; Uhlmann, Gunther
Scattering Control for the Wave Equation with Unknown Wave Speed
Archive for Rational Mechanics and Analysis, 231(2019), 409-464.
Au Yeung, Tak Shing; Chung, Eric T.; Uhlmann, Gunther
Numerical inversion of 3D geodesic X-ray transform arising from traveltime tomography
SIAM J. Imaging Sci., 12(3) (2019), 1296–1323.
Stefanov, Plamen; Uhlmann, Gunther; Vasy, Andras
Inverting the local geodesic X-ray transform on tensors
Journal D’Analyse Math., 136 (2018), 151–208.
Krupchyk, Katya; Uhlmann, Gunther
Inverse problems for magnetic Schrödinger operators in transversally anisotropic geometries
Comm. Math. Phys., 361 (2018), 525–582.
Krupchyk, Katya; Uhlmann, Gunther
Inverse problems for advection diffusion equations in admissible geometries
Comm in PDE, 43 (2018), 585–615.
Greenleaf, Allan; Lassas, Matti; Santacesaria, Matteo; Siltanen, Samuli; Uhlmann, Gunther
Propagation and recovery of singularities in the inverse conductivity problem
Analysis and PDE, 11(2018), 1901-1943
Ilmavirta, Joonas; Uhlmann, Gunther
Tensor tomography in periodic slabs
Journal of Functional Analysis 275 (2018), no. 2, 288–299.
Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther;
Inverse problems for Lorentzian manifolds and non-linear hyperbolic equations
Invent. Math. 212 (2018), no. 3, 781–857.
Lassas, Matti; Uhlmann, Gunther; Wang, Yiran
Inverse problems for semilinear wave equations on Lorentzian manifolds
Comm. Math. Physics. 360 (2018), no. 2, 555–609.
Holman, Sean; Uhlmann, Gunther
On the microlocal analysis of the geodesic X-ray transform with conjugate points
Journal of Differential Geometry 108 (2018), no. 3, 459–494.
Lassas, Matti; Oksanen, Lauri; Stefanov, Plamen; Uhlmann, Gunther
On the inverse problem of finding cosmic strings and other topological defects
Comm. Math. Physics. 357 (2018), no. 2, 569–595.
Assylbekov, Yernat; Monard, Francois; Uhlmann, Gunther
Inversion formulas and range characterizations for the attenuated geodesic ray transform
Journal de Mathematiques Pures et Appliquees. (9) 111 (2018), 161–190.
Greenleaf, Allan; Kettunen, Henrik; Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther
Superdimensional Metamaterial Resonators from sub-Riemannian geometry
SIAM J. Appl. Math. 78 (2018), no. 1, 437–456.
Stefanov, Plamen; Uhlmann Guntheri; Vasy, Andras
Local recovery of the compressional and shear speeds from the hyperbolic DN map
Inverse Problems 34 (2018), no. 1, 014003.
Krupchyk, Katya; Uhlmann, Gunther
Bounds on eigenfunctions of semiclassical operators with double characteristics
Asymptot. Anal. 106 (2018), no. 1, 25–46.
Palacios, Benjamin; Uhlmann, Gunther; Wang, Yiran
Quantitative analysis of metal artifacts in X-ray tomography
SIAM J. Math. Anal., 30 (2018), 4914-4936.
Palacios, Benjamin; Uhlmann, Gunther; Wang, Yiran
Reducing Streaking Artifacts in Quantitative Susceptibility Mapping
SIAM J.Imaging Science. 10 (2017), no. 4, 1921–1934.
Lai, Ru-Yu; Shankar, Ravi; Spirn, Daniel; Uhlmann Gunther
An inverse problem from condense matter physics
Inverse Problems 33 (2017), no. 11, 115011
Deng, Youjun; Liu, Hongyu; Uhlmann, Gunther
On regularized full- and partial-cloaks in acoustic scattering
Comm. PDE. 42(2017), 821-851.
Deng, Youjun; Liu, Hongyu; Uhlmann, Gunther
Full and Partial Cloaking in Electromagnetic Scattering
Arch. Ration. Mech. Anal. 223 (2017), 265–299.
Krupchyk, Katya; Uhlmann, Gunther
Absolute Continuity of the Periodic Schrödinger Operator in Transversal Geometry
J. Eur. Math. Soc. (JEMS) 19 (2017), 531–550.
Uhlmann, Gunther; Vasy, Andras
The Inverse Problem for the Local Geodesic X-ray Transform.
Inventiones Mathematicae 205 (2016) 83–120
Sj\"ostrand, J.; Uhlmann Gunther
Local Analytic Regularity for the Linearized Calderon Problem
Analysis & PDE, 9 (2016), 515-544.
Stefanov, Plamen; Uhlmann Guntheri; Vasy, Andras
Boundary Rigidity with Partial Data
Journal of the AMS 29 (2016), 299–332.
Stefanov, Plamen; Uhlmann, Gunther; Vasy, Andras
On the stable recovery of a metric from the hyperbolic DN map with incomplete data
Inverse Probl. Imaging 10 (2016), 1141–1147.
Paternain, Gabriel; Salo, Mikko; Uhlmann, Gunther; Zhou, Hanming
The geodesic X-ray transform with matrix weights
American Journal of Mathematics, 141(6) (2016)
Krupchyk, Katya; Uhlmann, Gunther
Inverse Boundary Problems for Polyharmonic Operators with Unbounded Potentials
J. Spectral Theory, 6 (2016), 145-183.
Krupchyk, Katya; Uhlmann, Gunther
The Calderon problem with partial data for conductivities with 3/2 derivatives
Comm. Math. Phys. 348 (2016), 185–219.
Guillarmou, Colin; Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
The X-ray transform for connections in negative curvature
Comm. Math. Phys. 343 (2016), 83–127.
Bal, Guillaume; Monard, Francois; Uhlmann, Gunther
Reconstruction of a fully anisotropic elasticity tensor from knowledge of displacement fields
SIAM J. Appl. Math. 75 (2015), 2214–2231
De Hoop Maarten; Uhlmann, Gunther; Vasy, Andras
Difraction by conormal singularities
Annales Scientifiques de l'Ecole Normale Superieure, 48 (2015), 351--408.
Imanuvilov, Oleg; Uhlmann, Gunther; Yamamoto Masahiro
The Neumann-to-Dirichlet map in two dimensions.
Adv. Math. 281 (2015), 578–593.
Krupchyk, Katya; Uhlmann, Gunther
On Lp Resolvent Estimates for Elliptic Operators on Compact Manifolds
Comm. PDE, 40 (2015), 438-474.
Lai, Ru-Yu; Uhlmann, Gunther;Wang, Jenn-Nan
Inverse Boundary Value Problem for the Stokes
and the Navier-Stokes Equations in the Plane
Arch. Ration. Mech. Anal. 215 (2015), 811-829
Li, Jongzhi; Liu, Hongyu; Rondi, Luca; Uhlmann, Gunther
Regularized Transformation-Optics Cloaking for Helmholtz Equation: From Partial Cloak to Full Cloak.
Comm. Math. Phys., 335 (2015), 671--712
Liu, Hongyu; Uhlmann, Gunther
Determining both sound speed and internal source in thermo- and photo-acoustic tomography
Inverse Problems 31 (2015), 105005.
Liu, Hongyu; Uhlmann, Gunther
Regularized Transformation-Optics Cloaking in Acoustic and Electromagnetic Scattering
Inverse Problems and Imaging, Société mathématique de France, Panoramas et Syntheses, 44,
(2015), 111-136.
Monard, Francois; Stefanov, Plamen; Uhlmann Gunther
The Geodesic Ray Transform on Riemannian Surfaces with Conjugate Points
Comm. in Mathematical Physics, 337, 1491--1513 (2015)
Paternain, Gabriel; Salo, Mikko; Uhlmann Gunther
Invariant Distributions, Beurling Transform and Tensor Tomography in Higher Dimensions
Math. Ann. 363 (2015), 305–362.
Paternain, Gabriel; Salo, Mikko; Uhlmann Gunther
On the Range of the Attenuated Ray Transform for Unitary Connections.
Int. Math. Res. Not. IMRN (2015), 873–897.
Pestov, Leonid; Uhlmann, Gunther; Zhou, Hanming
An Inverse Kinematic Problem with Internal Sources
Inverse Problems 31 055006 (2015)
Rakesh; Uhlmann Gunther
The Point Source Inverse Back-Scattering Problem
Contemporary Math., 644 (2015), 279-289.
Uhlmann, Gunther; Zhou, Ting
Inverse Electromagnetic Problems.
Encyclopedia of Applied and Computational Mathematics (2015) 716-725, Springer-Verlag, edited by B. Enquist.
Isakov, V., Nagayasu Sei; Uhlmann, Gunther;Wang, Jenn-Nan
Increasing Stability of the Inverse Boundary Value Problem for the Schroedinger Equation`.
Contemp. Math. 615 (2014), 131-141.
Krupchyk, Katya; Uhlmann, Gunther
Determining a magnetic Schr\"odinger operator with a bounded magnetic potential from boundary measurements
Comm. Math. Phys., 327 (2014), 993-1009.
Krupchyk, Katya; Lassas, Matti; Uhlmann, Gunther
Inverse Boundary value Problems for the Perturbed Polyharmonic Operator
Transactions AMS, 366 (2014), 95-112.
Oksanen Lauri; Uhlmann Gunther
Photoaocustic and Thermoacoustic Tomography with an Uncertain Wave Speed
Math. Research letters 21 (2014) 1199-1214
Paternain, Gabriel; Salo, Mikko; Uhlmann Gunther
Spectral Rigidity and Invariant Distributions on Anosov Manifolds.
J. Differential Geom. 98 (2014), 147–181.
Paternain, Gabriel; Salo, Mikko; Uhlmann Gunther
Tensor Tomography in Two Dimensions:Progress and Challenges.
.
Chinese Annals of Math. Ser. B, Ser. B, 35 (2014), 399-427.
Rakesh; Uhlmann Gunther
Uniqueness in the Backscattering Problem for Angularly Controlled Potentials
Inverse Problems, 30 (2014) 065005
Uhlmann, Gunther
30 years of Calderón's problem.
Séminaire Laurent Schwartz—Équations aux dérivées partielles et applications. Année 2012–2013, Exp. No. XIII, 25 pp., Sémin. Équ. Dériv. Partielles, École Polytech., Palaiseau, (2014).
Albin, Pierre; Guillarmou, Colin, Tzou, Leo; Uhlmann, Gunther
Inverse boundary problems for systems in two dimensions
Annales Intitut Henri Poincar\'e, 14 (2013), 1551-1571.
Bal, Guillaume; Uhlmann, Gunther
Reconstruction of coefficients in scalar second order elliptic equations from knowledge of their solutions.
Comm. on Pure and Applied Math., 66 (2013), 1692-1652.
De Hoop Maarten; Uhlmann, Gunther; Vasy, Andras; Wendt, H.,
Multi-scale discrete approximations of Fourier integral operators.
SIAM Multiscale Modeling and Simulation, 11 (2013), 566-585. .
Nagayasu Sei; Uhlmann, Gunther;Wang, Jenn-Nan
Increasing Stability in an Inverse Problem for the Acoustic Equation.
Inverse Problems, 29 (2013), 229-247.
Paternain, Gabriel; Salo, Mikko; Uhlmann Gunther
Tensor Tomography on Simple Surfaces.
Inventiones Math., 193 (2013), 229-247.
Stefanov, Plamen; Uhlmann Gunther
Is a Curve Flight Path in SAR Better than a Straight One?
SIAM J. Appl. Math., 73 (2013), 1596-1612.
Stefanov, Plamen; Uhlmann Gunther
Recovery of a Source or a Speed with One Measurement and Applications
Transactions AMS., 365 (2013), 5737-5758.
Stefanov, Plamen; Uhlmann Gunther
Instability for the Linearized Problem in Multiwave Tomography of Recovery Both the Source and the Speed.
Inverse Problems and Imaging, 7 (2013), 1367-1377.
Bal, Guillaume; Uhlmann, Gunther
Reconstructions for some coupled physics problems.
Applied Mathematics Letters, 25 (2012), 1030-1033.
De Hoop, Maarten; Holman, Sean; Smith, Hart; Uhlmann Gunther
Regularity and Multi-Scale Discretization of the Solution Construction of Hyperbolic Evolution Equations with Limited Smoothness.
Applied and Computational Harmonic Analysis, 33 (2012), 330-353.
Greenleaf, Allan; Kurylev, Yaroslav; Lassas, Matti; Leonhardt Ulf, Uhlmann, Gunther
Schroedinger's Hat: Approximate Electromagnetic,
Acoustic and Quantum Amplifiers
Via Transformation Optics.
Proceedings National Academy of Sciences (PNAS), 109 (2012), 10169-10174.
Imanuvilov, Oleg; Uhlmann, Gunther; Yamamoto Masahiro
On Reconstruction of Lam\'e Parameters from Partial Cauchy Data in Three Dimensions.
Inverse Problems, 28 (2012), 125002.
Imanuvilov, Oleg; Uhlmann, Gunther; Yamamoto Masahiro
Partial Cauchy Data for General Second Order Elliptic Operators in Two Dimensions.
Publ. Research Insti. Math. Sci, 48 (2012), 971-1055.
Krupchyk, Katya; Lassas, Matti; Uhlmann, Gunther
Determining a First Order Perturbation of the Biharmonic Operator by Partial Boundary Measurements
Journal Functional Analysis, 262 (2012), 1781-1801.
Krupchyk, Katya; Lassas, Matti; Uhlmann, Gunther
Inverse Problems with Partial Data for a Magnetic Schroendinger Operator in an Infinite Slab or Bounded Domain
Comm. Math. Phys., 312 (2012), 87-126.
Paternain, Gabriel; Salo, Mikko; Uhlmann Gunther
The Attenuated Ray Transform for Connections and Higgs Fields.
Geometric and Functional Analysis (GAFA), 22 (2012), 1460-1480.
Stefanov, Plamen; Uhlmann, Gunther
Multi-wave methods via ultrasound
Inverse Poblems and Applications, Inside Out II, MSRI Publications 60, C
ambridge University Press (2012), 271-323 (ed. by G. Uhlmann).
Agarwal, W; Chen, Xudong; Hu, L.; Liu, Hongyu, Uhlmann Gunther
Polarization Invariant Directional Cloaking by Transformation Optics.
Progress In Electromagnetics Research, Vol. 118 (2011), 415-423.
Comm. Math. Phys., 312 (2012), 87-126.
Paternain, Gabriel; Salo, Mikko; Uhlmann Gunther
The Attenuated Ray Transform for Connections and Higgs Fields.
Geometric and Functional Analysis (GAFA), 22 (2012), 1460-1480.
Stefanov, Plamen; Uhlmann, Gunther
Multi-wave methods via ultrasound
Inverse Poblems and Applications, Inside Out II, MSRI Publications 60, C
ambridge University Press (2012), 271-323 (ed. by G. Uhlmann).
Agarwal, W; Chen, Xudong; Hu, L.; Liu, Hongyu, Uhlmann Gunther
Polarization Invariant Directional Cloaking by Transformation Optics.
Progress In Electromagnetics Research, Vol. 118 (2011), 415-423.
Chen, Xudong; Uhlmann Gunther
Cloaking a Sensor for Three Dimensional Maxwell's Equations: A Transformation Optics Approach.
Optics Express, 19 (2011), 20518-20530.
Imanuvilov, Oleg; Uhlmann, Gunther; Yamamoto Masahiro
Inverse Boundary Problem with Cauchy data on Disjoint Sets.
Inverse Problems, 27 (2011), 085007.
Qian Jianliang; Stefanov, Plamen; Uhlmann, Gunther;
Zhao, Hong-Kai
An Efficient Neumann-series
Based Algorithm for the Thermoacoustic and Photoacoustic Tomography with Variable Sound Speed
SIAM J. Imaging Sciences, 4 (2011), 850-883.
Chung, Eric; Qian Jianling; Uhlmann, Gunther;
Zhao, Hong-Kai
An Adaptive Method in Phase Space with Application to Reflection Travel Time Tomography
Inverse Problems, 27 (2011) 115002.
Kenig, Carlos; Salo, Mikko; Uhlmann, Gunther
Reconstruction from Boundary Measurements for Admissible Manifolds
Inverse Problems and Imaging, 5 (2011),
859 - 877.
Greenleaf, Allan; Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther
Cloaking a Sensor via Transformation Optics
Physical Review E, 83 (2011), 016603.
Imanuvilov, Oleg; Uhlmann, Gunther; Yamamoto Masahiro
Partial Cauchy Data for General Second Order Elliptic Operators in Two Dimensions.
Publ. Research Insti. Math. Sci, 48 (2012), 971-1055.
Imanuvilov, Oleg; Uhlmann, Gunther; Yamamoto Masahiro
On Determination of Second Order Elliptic Operators from
Partial Cauchy Data.
Proceedings National Academy of Sciences, 108 (2011), 467-472.
Bal, Guillaume; Ren, Kui, Uhlmann, Gunther; Zhou, Ting
Quantitative Thermoacoustics and Related Topics.
Inverse Problems, 27 (2011), 055007.
Stefanov, Plamen; Uhlmann Gunther
Thermoacoustic Tomography Arising in Brain Imaging
Inverse Problems, 27 (2011), 045004.
Brytik Valeriy; De Hoop Maarten; Smith, Hart; Uhlmann Gunther
The Elastic Wave Equation of Limited Smoothness
Comm. PDE., 36 (2011), 1683-1693.
Lin, Ching-Lung; Uhlmann, Gunther;Wang, Jenn-Nan
Asymptotic Behavior of Solutions of the Stationary Navier Stokes Equation in Exterior Domains
Indiana Math. J., 60 (2011), 2093-2106.
Salo, Mikko; Uhlmann, Gunther
The Attenuated Ray Transform on Simple Surfaces
J. Diff. Geometry, 88 (2011), 161-187.
Lassas, Matti; Salo, Mikko; Uhlmann, Gunther
Wave Imaging
Handbook of Mathematical Methods in Imaging, Springer-Verlag,
O. Scherzer (Ed.), 2011.
Lin, Ching-Lung; Nakamura, Gen; Uhlmann, Gunther;Wang, Jenn-Nan
Quantitative Unique continuation for the Lame System with Less Regular Coefficients
Methods and Applications of Analysis, 18 (2011), 85-92.
Krupchyk, Katya; Lassas, Matti; Uhlmann, Gunther
Inverse Problems for Differential Forms on Riemannian Manifolds with Boundary
Comm. PDE, 36 (2011), 1475-1509.
Stefanov, Plamen; Uhlmann Gunther
The Geodesic X-Ray Transform with Fold Caustics
Anal. and PDE., 5 (2012), 219-260.
Lin, Ching-Lung; Uhlmann, Gunther;Wang, Jenn-Nan
Optimal Three-Ball Inequalities and Quantitative Uniqueness for the Stokes system
DCDS-A (Special issue dedicated to Professor Louis Nirenberg on the occasion of his 85th birthday), Vol 28 (2010), 1273-1290.
Greenleaf, Allan; Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther
Approximate Acoustic and Quantum Cloaking
Journal Spectral Theory, 1 (2011), 27-80.
Kenig, Carlos; Salo, Mikko; Uhlmann, Gunther
Inverse Problems for the Anisotropic Maxwells Equations
Duke Math. J., 157 (2011), 369-419.
Nagayasu Sei; Uhlmann, Gunther;Wang, Jenn-Nan
Reconstruction of Penetrable Obstacles in Acoustics
SIAM J. Math. Anal., 43 (2011), 189-211.
Bal, Guillaume; Uhlmann, Gunther
Inverse Diffusion Theory of Photoacoustics.
Inverse Problems, 26(2010), 085010.
Dairbekov Nurlan; Uhlmann, Gunther
Reconstructing the Metric and Magnetic Field from the Scattering Relation
Inverse Problems and Imaging, 4(2010), 397-409.
Imanuvilov, Oleg; Uhlmann, Gunther; Yamamoto Masahiro
The Calderon Problem with Partial Data in Two Dimensions.
Journal American Math. Society, 23(2010), 655-691.
Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther
Rigidity of Broken Geodesic Flow and Inverse Problems
American Journal of Math, 132(2010), 529-562.
Li, Xiaosheng; Uhlmann, Gunther
Inverse Problems on a Slab
Inverse Problems and Imaging, 4(2010), 449-462.
Paivarinta, Lassi; Salo, Mikko; Uhlmann, Gunther
Inverse Scattering for the Magnetic Schroedinger Equation
J. Funct. Anal. 259, (2010), 1771-1798.
Dos Santos Ferreira D.; Kenig C.; Sj\"ostrand, J.; Uhlmann Gunther
On the Linearized Local Calderon Problem,
Math Research Letters, 16(2009), 955-970.
Dos Santos Ferreira, David; Kenig, Carlos; Salo, Mikko; Uhlmann, Gunther
Limiting Carleman Weights and Anisotropic Inverse Problems.
Inventiones Math, 178(2009), 119-171.
De Hoop Maarten; Smith, Hart; Uhlmann Gunther; Van der Hilst Rob
Seismic Imaging with the Generalized Radon Transform: A Curvelet Transform Perspective
Inverse Problems 25 (2009) 025005
Greenleaf, Allan; Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther
Cloaking Devices, Electromagnetic Wormholes and Transformation Optics
SIAM Review 51 (2009), 3-33.
Greenleaf, Allan; Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther
Invisibility and Inverse Problems
Bulletin AMS 46 (2009), 55-97.
Nagayasu Sei; Uhlmann, Gunther;Wang, Jenn-Nan
Depth Dependent Stability estimates in Electrical Impedance Tomography
Inverse Problems 25 (2009), 075001.
Stefanov, Plamen; Uhlmann Gunther
Thermoacoustic Tomography with Variable Sound Speed
Inverse Problems, 25 (2009), 075011.
Stefanov, Plamen; Uhlmann Gunther
Linearizing Non-linear Inverse Problems and its Applications to Inverse Backscattering
Journal Functional Analysis 256 (2009), 2842-2866.
Stefanov, Plamen; Uhlmann Gunther
Local Lens Rigidity with Incomplete Data for a Class of
Non-Simple Riemannian Manifolds
Journal Diff. Geometry 82 (2009), 383-409.
Uhlmann, Gunther
Calderon's Problem and Electrical Impedance Tomography.
Inverse Problems, 25th Anniversary Volume, 25(2009), 123011 (39pp.)
Uhlmann, Gunther
Visibility and Invisibility.
in 6th International Congress on Industrial.and Appl. Math. (ICIAM) -- Zurich,
Switzerland, 16-20 July 2007 -- Invited Lectures, R. Jeltsch and
G. Wanner eds, Euro Math Soc.(2009), 381-408.
Uhlmann, Gunther; Wang, Jenn-Nan
Unique Continuation Property with General Residual Stress
Inverse Problems and Imaging 3 (2009), 309-317.
Uhlmann, Gunther; Wang, Jenn-Nan; Wu, Chin-Tien
Reconstruction of Inclusions in an Elastic Body
Journal de Mathematiques Pures et Appliquees (2009), 569-582.
Andersson, Frederik; De Hoop Maarten; Smith, H.; Uhlmann Gunther
A Multi-Scale Approach to Hyperbolic Equations
with Limited Smoothness
Comm. P.D.E., 33 (2008), 988-1017
Chung, Eric; Qian Jianling; Uhlmann, Gunther;
Zhao, Hong-Kai
A Phase-space Formulation for Elastic-wave Traveltime Tomography
Journal of Physics: Conference Series 124 (2008), 012018.
Greenleaf, Allan; Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther
Approximate Quantum Cloaking and Almost Trapped States
Physical Review Letters 101 (2008), 220404.
Greenleaf, Allan; Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther
Isotropic Transformation Optics: Approximate Acoustic and Quantum Cloaking
New Journal of Physics 10 (2008), 115024-115051.
Greenleaf, Allan; Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther
Inverse Problems, Invisibility, and Artificial Wormholes
Journal of Physics: Conference Series 124 (2008), 012005.
Greenleaf, Allan; Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther
Electromagnetic Wormholes via Handlebody
Constructions
Communications in Mathematical Physics, 281 (2008), 369-385
Melrose, Richard; Uhlmann, Gunther
Generalized Backscattering and the Lax-Phillips Transform
Serdica Math. J. 34 (2008), 1026-1044
Stefanov, Plamen; Uhlmann Gunther
An Inverse Problem in Optical Molecular Imaging
Analysis and PDE 1 (2008), 115-126.
Stefanov, Plamen; Uhlmann Gunther
The X-Ray Transform for a Generic Family of
Curves and Weights
J. Geom. Anal. 18(1)(2008), 81-97
Stefanov, Plamen; Uhlmann Gunther
Integral Geometry of Tensor fields on a Class of Non-Simple
Riemannian Manifolds
American J. of Math., 130 (2008), 239-268.
Stefanov, Plamen; Uhlmann Gunther
Boundary and Lens Rigidity, Tensor Tomography, and Analytic Microlocal
Analysis
Algebraic Analysis of Differential Equations. In honor of Prof.
Takahiro Kawai on the occasion of his 65th birthday. Aoki, T.; Takei, Y.; Tose, N.; Majima,
H. (Eds.) (2008), Springer, pages 275-293.
Uhlmann, Gunther
Commentary on Calder\'on's paper (29) ``On an inverse boundary value
problem".
Selected Papers of A.P. Calder\'on, edited by Alexandra Bellow,
Carlos Kenig and Paul Malliavin, AMS (2008), 623-636.
Uhlmann, Gunther;Wang, Jenn-Nan
Complex Geometrical Optics Solutions
and Reconstruction of Discontinuities
SIAM J. Appl. Math., 68 (2008), 1026-1044.
Chung, Eric; Qian Jianling; Uhlmann, Gunther;
Zhao, Hong-Kai
A New Phase Space Method for Recovering Index of
Refraction from Travel Times
Inverse Problems 23 (2007), no. 1, 309--329.
Dairbekov, Nurlan; Partenain, Gabriel; Stefanov, Plamen; Uhlmann Gunther
The Boundary Rigidity Problem in the
Presence of a Magnetic Field
Adv. Math. 216(2)(2007), 535-609.
Dos Santos Ferreira D.; Kenig C.; Sj\"ostrand, J.; Uhlmann Gunther
Determining the Magnetic Schr\"odinger Operator from Partial Cauchy
Data.
Comm. Math. Phys. 271 (2007), no. 2, 467--488.
Greenleaf, Allan; Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther
Effectiveness and Improvement of Cylindrical Cloaking with the SHS Lining
Optics Express, Vol. 15, Issue 20, pp. 12717-12734 (2007)
Greenleaf, Allan; Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther
Electromagnetic Wormholes and Virtual
Magnetic Monopoles from Metamaterials
Physical Review Letters, 99, no. 18, 183901 (2007)
Greenleaf, Allan; Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther
Full Wave Invisibility of
Active Devices at all Frequencies
Communications in Mathematical Physics, 275, no. 3 (2007), 749-789.
Horst Heck; Uhlmann, Gunther;Wang, Jenn-Nan
Reconstruction of Obstacles Immersed in
an Incompressible Fluid
Inverse Probl. Imaging 1 (2007), no. 1, 63--76.
Ide T.; Isozaki, H.; Nakata S.; Siltanen S.; Uhlmann Gunther
Probing for electrical inclusions with complex spherical waves.
Communications on Pure and Applied Mathematics 60 (2007), pp. 1415-1442
Kenig C.; Sj\"ostrand, J.; Uhlmann Gunther
The Calder\'on Problem with Partial Data.
Ann. of Math. (2) 165 (2007), no. 2, 567--591.
Nolan, Clifford; Uhlmann, Gunther
Parametrices for systems
with multiplicity
Wave Motion 44 (2007), no. 4, 231--247.
Takuwa Hideki; Uhlmann, Gunther; Wang, Jenn-Nan
Complex Geometrical Optics Solutions for Anisotropic Equations and Applications
J. Inv. Ill-Posed Problems 16 (2007), 791-804.
Uhlmann, Gunther;Wang, Jenn-Nan
Complex spherical waves for the elasticity system and probing of
inclusions
SIAM J. Math. Anal. 38 (2007), no. 6, 1967--1980.
Uhlmann, Gunther; Wang, Jenn-Nan
Reconstructing Discontinuities in Systems
Journal of Physics: Conference Series (2007), 012024.
De Hoop M.; Uhlmann Gunther
Characterization and source-receiver continuation of seismic
reflection data
Comm. Math. Physics, 263(2006), 1-19.
Nakamura, Gen; Uhlmann, Gunther;Wang, Jenn-Nan
Oscillating Decaying Solutions for Elliptic
Systems,
Contemporary Math.,
408(2006), 219-230.
.
Pestov, Leonid; Uhlmann, Gunther
The Scattering Relation and the
Dirichlet-to-Neumann Map
Contemporary Math, 412(2006), 249-262.
Nakamura, Gen; Uhlmann, Gunther;Wang, Jenn-Nan
Oscillating Decaying Solutions, Runge
Approximation and its Applications to Inverse Problems
Journal de Mathematiques Pures et Appliquees, 85(2005),
21-54.
Pestov, Leonid; Uhlmann, Gunther
Two Dimensional Compact Simple Riemannian
manifolds are Boundary Distance Rigid
Annals of Math., 161(2005), 1089-1106.
Nakamura, Gen; Uhlmann, Gunther;Wang, Jenn-Nan
Reconstruction of Cracks in an
Inhomogeneous Anisotropic Medium Using Point Sources
Advances in Appl. Math., 34
(2005),591--615.
Sharafutdinov, Vladimir; Skokan, Michal; Uhlmann, Gunther
Regularity of Ghosts in Tensor Tomography
Journal of Geometric Analysis, 15 (2005), 499-542.
`
Stefanov, Plamen; Uhlmann Gunther
Boundary Rigidity and Stability for Generic Simple Metrics,
Journal Amer. Math. Soc. 18(2005), 975-1003.
Stefanov, Plamen; Uhlmann Gunther
Stable Determination of Generic Simple
Metrics from the Hyperbolic Dirichlet-to-Neumann Map
International Math. Research Notices, 17(2005), 1047-1061.