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A global uniqueness theorem for an inverse boundary value problem

- J. Sylvester, G. Uhlmann
- Mathematics
- 1987

In this paper, we show that 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… Expand

Uniqueness in the inverse conductivity problem for nonsmooth conductivities in two dimensions

- Russell M. Brown, G. Uhlmann
- Mathematics
- 1997

Let R 2 be a bounded domain with Lipschitz boundary and let : ! R be a function which is measurable and bounded away from zero and innnity. We consider the divergence form elliptic operator

RECOVERING A POTENTIAL FROM PARTIAL CAUCHY DATA

- A. L. Bukhgeǐm, G. Uhlmann
- Mathematics
- 5 January 2002

ABSTRACT In this paper we prove in dimension n ⪆ 3 that knowledge of the Cauchy data for the Schrödinger equation measured on particular subsets of the boundary determines uniquely the potential.

Thermoacoustic tomography with variable sound speed

- P. Stefanov, G. Uhlmann
- Mathematics, Physics
- 11 February 2009

We study the mathematical model of thermoacoustic tomography in media with a variable speed for a fixed time interval [0, T] so that all signals issued from the domain leave it after time T. In the… Expand

Determining anisotropic real-analytic conductivities by boundary measurements

- John M. Lee, G. Uhlmann
- Mathematics
- 1 December 1989

If an electrical potential is applied to the surface of a solid body, the current flux across the surface depends on the conductivity in the interior of the body. We want to consider the inverse… Expand

Limiting Carleman weights and anisotropic inverse problems

- David Dos Santos Ferreira, C. Kenig, M. Salo, G. Uhlmann
- Mathematics
- 25 March 2008

In this article we consider the anisotropic Calderón problem and related inverse problems. The approach is based on limiting Carleman weights, introduced in Kenig et al. (Ann. Math. 165:567–591,… Expand

The Calderón problem with partial data

- C. Kenig, J. Sjoestrand, G. Uhlmann
- Mathematics
- 26 May 2004

In this paper we improve an earlier result by Bukhgeim and Uhlmann, by showing that in dimension larger than or equal to three, the knowledge of the Cauchy data for the Schr\"odinger equation… Expand

Determining a Magnetic Schrödinger Operator from Partial Cauchy Data

- D. D. S. Ferreira, C. Kenig, J. Sjöstrand, G. Uhlmann
- Physics, Mathematics
- 19 January 2006

In this paper we show, in dimension n ≥ 3, that knowledge of the Cauchy data for the Schrödinger equation in the presence of a magnetic potential, measured on possibly very small subsets of the… Expand

Inverse Diffusion Theory of Photoacoustics

- G. Bal, G. Uhlmann
- Mathematics
- 14 October 2009

This paper analyzes the reconstruction of diffusion and absorption parameters in an elliptic equation from knowledge of internal data. In the application of photo-acoustics, the internal data are the… Expand

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