Inverse problems with partial data in a slab

Xiaosheng Li; Gunther Uhlmann

doi:10.3934/ipi.2010.4.449

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2010, Volume 4, Issue 3: 449-462. Doi: 10.3934/ipi.2010.4.449

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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
2.
Department of Mathematics, University of Washington, Seattle, WA 98195-4350

Received: November 2007

Revised: June 2010

Published: August 2010

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Abstract

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.

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Mathematics Subject Classification: 35R30.

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