Papers, 2003-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.

  • Paivarinta, Lassi; Salo, Mikko; Uhlmann, Gunther
    Inverse Scattering for the Magnetic Schroedinger Equation
    Preprint
     
  • Kenig, Carlos; Salo, Mikko; Uhlmann, Gunther
    Inverse Problems for the Anisotropic Maxwells Equations
    Preprint
     
  • Dos Santos Ferreira D.; Kenig C.; Sj\"ostrand, J.; Uhlmann Gunther
    On the Linearized Local Calderon Problem,
    to appear Math Research Letters.
     
  • Nagayasu Sei; Uhlmann, Gunther;Wang, Jenn-Nan
    Reconstruction of Penetrable Obstacles in Acoustics
    Preprint.
     
  • Dairbekov Nurlan; Uhlmann, Gunther
    Reconstructing the Metric and Magnetic Field from the Scattering Relation
    Preprint.
     
  • Greenleaf, Allan; Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther
    Approximate Acoustic and Quantum Cloaking
    Preprint.
     
  • Imanuvilov, Oleg; Uhlmann, Gunther; Yamamoto Masahiro
    The Calderon Problem with Partial Data in Two Dimensions.
    To appear Journal American Math. Society. (This paper combines arXiv:0810.2286 and arXiv:0809.3037).
     
  • Greenleaf, Allan; Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther
    Comment on "Scattering Theory Derivationof a 3D Acoustic Cloaking Shell".
    Preprint.
     
  • Dos Santos, David; Kenig, Carlos; Salo, Mikko; Uhlmann, Gunther
    Limiting Carleman Weights and Anisotropic Inverse Problems.
    To appear, Inventiones Math.
     
  • Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther
    Rigidity of Broken Geodesic Flow and Inverse Problems
    To appear, American Journal of Math.
     

  • De Hoop Maarten; Smith, Hart; Uhlmann Gunther; Van der Hilstt 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
    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 Appl ications
    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.
     
  • 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, András; 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
    Semiglobal Boundary Rigidity for Riemannian Metrics
    Math. Annalen, 325(2003), 767-793.
     
  • Lassas, Matti; Taylor, Michael; Uhlmann, Gunther
    The Dirichlet-to-Neumann map for Complete Riemannian Manifolds with Boundary
    Communications in Analysis and Geometry, 19(2003), 207-221.
     
  • Nakamura Gen; Uhlmann, Gunther; Wang, Jenn-Nan
    Reconstruction of Cracks in an Inhomogeneous Anisotropic Elastic Medium
    Journal des Mathematiques Pures et Appliquees, 82(2003), 1251-1276.
     
  • Nolan, Clifford; Uhlmann, Gunther
    Geometrical Optics for Generic Anisotropic Materials
    Contemporary Math., 333(2003), 177-185.
     
  • Päivärinta, Lassi, Panchenko, Alexander; Uhlmann, Gunther
    Complex Geometrical Optics Solutions for Lipschitz Conductivities
    Revista Matematica Iberoamericana, 19(2003), 57-72.
     
  • Stefanov, Plamen; Uhlmann, Gunther
    Optical Tomography in Two Dimensions
    Methods and Applications of Analysis, 10(2003), 1-9.
     
  • Sun, Ziqi; Uhlmann, Gunther
    Anisotropic Inverse Problems in two Dimensions
    Inverse Problems, 19(2003), 1001-1010.
     
  • Uhlmann, Gunther
    Inverse Boundary Problems in two Dimensions
    Function Spaces, Differential Operators, Nonlinear Analysis - The Hans Triebel Anniversary Volume, Birkhaeuser, Basel-Boston-Berlin, (2003), 183-203, edited by D. Haroske, T. Tunst and H-J Schmeisser.
     
  • Uhlmann, Gunther
    The Cauchy Data and the Scattering Relation
    IMA publications, Springer-Verlag, 137(2003), 263-288.
     
  • Uhlmann, Gunther; Vasy, András
    Inverse Problems in 3-body scattering
    Contemporary Math., 333(2003), 209-215.
     
  • Uhlmann, Gunther; Wang, Jenn-Nan
    Boundary Determination of a Riemannian metric by the localized boundary distance function
    Advances In Applied Mathematics, 31(2003), 379-397.
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