Inverse problems with partial data in a slab

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August 2010, 4(3): 449-462. doi: 10.3934/ipi.2010.4.449

Inverse problems with partial data in a slab

Xiaosheng Li ^1, and Gunther Uhlmann ^2,

1.	Department of Mathematics and Statistics, Florida International University, Miami, FL 33199, United States
2.	Department of Mathematics, University of Washington, Seattle, WA 98195-4350

Received November 2007 Revised June 2010 Published July 2010

Abstract
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In this paper we consider several inverse boundary value problems with partial data on an infinite slab. We prove the unique determination results of the coefficients for the Schrödinger equation and the conductivity equation when the corresponding Dirichlet and Neumann data are given either on the different boundary hyperplanes of the slab or on the same single hyperplane.

Keywords: Inverse problems, Incomplete data, Slab..

Mathematics Subject Classification: 35R3.

Citation: Xiaosheng Li, Gunther Uhlmann. Inverse problems with partial data in a slab. Inverse Problems & Imaging, 2010, 4 (3) : 449-462. doi: 10.3934/ipi.2010.4.449

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