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.

  • 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
    Preprint
     

  • 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
    To apper, Comm. P.D.E.
     
  • 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
    to appear, Selecta, edited by A. Bellow, C.E. Kenig and P. Malliavin.
     
  • Stefanov, Plamen; Uhlmann Gunther
    Integral Geometry of Tensor fields on a Class of Non-Simple Riemannian Manifolds
    To appear, American J. of Math.
     
  • 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
    To appear, SIAM J. Appl. Math.
     
  • 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
    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.
    &#
  • Bukhgeim, Alexander; Uhlmann, Gunther
    Recovering a Potential from Partial Cauchy Data
    Comm. PDE, 27(2002), 653-668.
     
  • Bukhgeim, Alexander; Dyatlov, Gleb; Uhlmann, Gunther
    Reconstruction of the Memory from Partial Boundary Measurements Data
    Contemporary Mathematics, 307(2002), 39-46.
     
  • Hansen, Sönke; Uhlmann, Gunther
    Determining Acoustic and Elastic Parameters from Travel Times
    Proceedings of 2002 ASME International Mechanical Engineering Congress and Exposition (IMECE 2002)
     
  • Uhlmann, Gunther
    Scattering by a Metric.
    Scattering and Inverse Scattering in Pure and Applied Science, (2002), 1668-1677.
     
  • Uhlmann, Gunther; Vasy, András
    Low Energy Inverse Problems in Three-Body Scattering
    Inverse Problems 18(2002), 719-736.
     
  • Uhlmann, Gunther; Vasy, András
    Fixed Energy Inverse Problem for Exponentially Decreasing Potentials
    Methods and Applications of Analysis, 9(2002), 239-248. (see Addendum)
     
  • Uhlmann, Gunther; Vasy, András
    Addendum to ``Fixed Energy Inverse Problem for Exponentially Decreasing Potentials"

     
  • Finch, David; Uhlmann, Gunther
    The X-ray Transform for a Non-abelian Connection in Two Dimensions.
    Special issue to celebrate Pierre Sabatier's 65th birthday (Montpellier, 2000). Inverse Problems 17 (2001), no. 4, 695--701.
     
  • Uhlmann, Gunther
    A Time-Dependent Approach to the Inverse Backscattering Problem.
    Special issue to celebrate Pierre Sabatier's 65th birthday (Montpellier, 2000). Inverse Problems 17 (2001), no. 4, 703--716
     
  • Sharafutdinov, Vladimir; Uhlmann, Gunther
    On Deformation Boundary Rigidity and Spectral Rigidity of Riemannian Surfaces with no Focal Points
    J. Differential Geom. 56 (2000), no. 1, 93--110.
     
  • Uhlmann, Gunther
    Inverse Scattering in Anisotropic Media.
    Surveys on solution methods for inverse problems, 235--251, Springer, Vienna, 2000.
     
  • Uhlmann, Gunther
    Developments in Inverse Problems since Calderón's Foundational Paper.
    Harmonic analysis and partial differential equations, Essays in Honor of Alberto P. Calderón. Chicago lectures in Mathematics, (1999), 295--345, edited by M. Christ, C. E. Kenig and C. Sadosky.