Papers, 2000-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.
Imanuvilov, Oleg; Uhlmann, Gunther; Yamamoto Masahiro
Partial Data for the Calderon Problem in Two Dimensions.
Preprint.
Dos Santos, D.; Kenig C.; Salo, M.; Uhlmann Gunther
Limiting Carleman Weights and Anisotropic Inverse Problem.
Preprint.
Greenleaf, Allan; Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther
Comment on "Scattering Theory Derivation of a 3D Acoustic Cloaking Shell".
Preprint.
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
Electromagnetic Wormholes via Handlebody
Constructions
To appear, Communications in Mathematical Physics
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.
Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther
Rigidity of Broken Geodesic Flow and Inverse Problems
To appear, American Journal of Mathematics
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
Local Lens Rigidity with Incomplete Data for a Class of
Non-Simple Riemannian Manifolds
Preprint.
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
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.
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.
Uhlmann, Gunther
Commentary on Alberto P. Calderón's
paper: On an Inverse Boundary Value Problem
Greenleaf, Allan; Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther
Electromagnetic Wormholes via Handlebody
Constructions
Communications in Mathematical Physics, 281 (2008), 369-385
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.
Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther
Rigidity of Broken Geodesic Flow and Inverse Problems
To appear, American Journal of Math.
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
Local Lens Rigidity with Incomplete Data for a Class of
Non-Simple Riemannian Manifolds
Preprint.
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
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.
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.
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.
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.
Horst Heck; Uhlmann, Gunther;Wang, Jenn-Nan
Reconstruction of Obstacles Immersed in
an Incompressible Fluid
Inverse Probl. Imaging 1 (2007), no. 1, 63--76.
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.
Kenig C.; Sj\"ostrand, J.; Uhlmann Gunther
The Calder\'on Problem with Partial Data.
Ann. of Math. (2) 165 (2007), no. 2, 567--591.
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(10), pp. 1415-1442
Nolan, Clifford; Uhlmann, Gunther
Parametrices for systems
with multiplicity
Wave Motion 44 (2007), no. 4, 231--247.
Uhlmann, Gunther;Wang, Jenn-Nan
Complex geometrical optics solutions
and reconstruction of discontinuities
SIAM J. Appl. Math., 68 92008), 1026-1044.
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.
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.
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.
Ammari, Habib; Uhlmann, Gunther
Reconstruction of the Potential
from Partial Cauchy Data for the Schr\"odinger Equation
Indiana University Math J., 53(2004), 169-184.
Isozaki, Hiroshi; Uhlmann, Gunther
Hyperbolic Geometry and the
Dirichlet-to-Neumann map
Advances in Math., 188(2004), 294-314.
Isozaki, Hiroshi; Nakazawa, Hideo; Uhlmann, Gunther
Inverse Scattering Problem in
Nuclear Physics-Optical Model
Journal Math. Phys., 45 (2004), 2613--2632.
Kang, Hyeonbae; Uhlmann, Gunther
Inverse Problems for the Pauli Hamiltonian
in Two Dimensions
Journal Fourier Analysis and Applications, 10(2004), 201-215.
Nakamura, Gen; Uhlmann, Gunther;Wang, Jenn-Nan
Unique Continuation for Elliptic
Systems and Crack Determination in Anisotropic Elasticy
Contemp. Math., 362(2004), 321-338.
Pestov, Leonid; Uhlmann, Gunther
On the Characterization of the Range and
Inversion Formulas for the Geodesic X-Ray Transform
International Math. Research Notices, 80(2004),
4331-4347,
Pestov, Leonid; Uhlmann, Gunther
Boundary Rigidity and the Dirichlet-to-Neumann Map
Math. Research Letters, 11(2004), 285-298.
Stefanov, Plamen; Uhlmann Gunther
Stability Estimates for the X-ray Transform
of Tensor Fields and Boundary Rigidity
Duke Math. J., 123(2004), 445-467.
Stefanov, Plamen; Uhlmann, Gunther
Local Uniqueness in the Inverse Scattering
Problem at Fixed energy Fixed Angle Scattering
Proceedings AMS, 132(2004), 1351-1354.
Vasy, Andrá Uhlmann, Gunther
Inverse problems in N-body scattering
Contemporary Mathematics, 348(2004), 135-154
Vasy, Andrá Uhlmann, Gunther
Inverse problems in N-body scattering
Contemporary Mathematics, 348(2004), 135-154
Uhlmann, Gunther
On the Local Dirichlet-to-Neumann Map
New Analytic and Geometric Methods in Inverse Problems, Lectures
given at the EMS Summer School, 201-219, Springer-Verlag(2004). Edited
by K. Bingham, Ya V. Kurylev and E. Somersalo.
Finch, David; Lan, Ih-Ren; Uhlmann, Gunther
Microlocal Analysis of the
Restricted X-ray Transform with Sources on a Curve
Inside Out, Inverse Problems and
Applications, MSRI Publications Volume 47, Cambridge University Press
(2003), 193-218, G. Uhlmann, editor.
Greenleaf, Allan; Lassas, Matti; Uhlmann, Gunther
The Calder\'on Problem for Conormal
Potentials I: Global Uniqueness and Reconstruction
Comm. Pure Appl. Math., 61(2003), 328-352.
Greenleaf, Allan; Lassas, Matti; Uhlmann, Gunther
Anisotropic Conductivities that
Cannot Be Detected by EIT
Physiological Measurement, 24(2003), 413-420.
Greenleaf, Allan; Lassas, Matti; Uhlmann, Gunther
On Non-Uniqueness for Calderon's
Inverse Problem
Mathematical Research Letters, 10(2003), 685-693.
Hansen, Sönke; Uhlmann, Gunther
Propagation of Polarization in
Elastodynamics with Residual Stress and Travel Times
Math. Annalen, 326(2003), 536-587.
Lassas, Matti; Sharafutdinov, Vladimir; Uhlmann, Gunther
by the localized boundary distance function
Advances In Applied Mathematics, 31(2003), 379-397.
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