G
Gunther Uhlmann
Researcher at University of Washington
Publications - 454
Citations - 21642
Gunther Uhlmann is an academic researcher from University of Washington. The author has contributed to research in topics: Boundary (topology) & Inverse problem. The author has an hindex of 72, co-authored 444 publications receiving 19560 citations. Previous affiliations of Gunther Uhlmann include Wichita State University & University of California, Irvine.
Papers
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A global uniqueness theorem for an inverse boundary value problem
John Sylvester,Gunther Uhlmann +1 more
TL;DR: In this paper, the single smooth coefficient of the elliptic operator LY = v yv can be determined from knowledge of its Dirichlet integrals for arbitrary boundary values on a fixed region 2 C R', n? 3.
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On nonuniqueness for Calderón’s inverse problem
TL;DR: In this article, anisotropic conductivities with the same Dirichlet-to-Neumann map as a homogeneous isotropic conductivity were constructed, which are singular close to a surface inside the body.
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Electrical impedance tomography and Calderón's problem
TL;DR: In this paper, the authors survey mathematical developments in the inverse method of electrical impedance tomography which consists in determining the electrical properties of a medium by making voltage and current measurements at the boundary of the medium.
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The Calderón problem with partial data
TL;DR: In this paper, it was shown that the knowledge of the Cauchy data for the Schr?Nodinger equation measured on possibly very small subsets of the boundary determines uniquely the potential.
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Determining anisotropic real-analytic conductivities by boundary measurements
John M. Lee,Gunther Uhlmann +1 more
TL;DR: In this article, the inverse problem of determining the conductivity of a solid body is considered, where the current flux across the surface depends on the conductivities in the interior of the body.