On the Local Dirichlet-to-Neumann Map

Gunther Uhlmann
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Gunther Uhlmann: University of Washington, Department of Mathematics

A chapter in New Analytic and Geometric Methods in Inverse Problems, 2004, pp 261-279 from Springer

Abstract: Abstract We survey some recent progress on the problem of determining a conductivity or a potential by measuring the elliptic Dirichlet-to-Neumann map for the associated conductivity equation or the Schrödinger equation. We make emphasis on the new results obtained on open problem 2 stated in [21] which concerns with the case that the measurements are made on a strict subset of the boundary.

Keywords: Riemannian Manifold; Compact Riemannian Surface; Compact Riemannian Manifold; Cauchy Data; Carleman Estimate (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-08966-8_7

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DOI: 10.1007/978-3-662-08966-8_7

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