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Uniqueness and stability of time and space-dependent conductivity in a hyperbolic cylindrical domain

Other
Authors Larisa Beilina
Michel Cristofol
Shumin Li
Published in ArXiv
Publication year 2016
Published at Department of Mathematical Sciences, Mathematics
Language en
Links https://arxiv.org/abs/1607.01615
Subject categories Numerical analysis, Mathematics

Abstract

This paper is devoted to the reconstruction of the time and space-dependent coefficient in an infinite cylindrical hyperbolic domain. Using a local Carleman estimate we prove the uniqueness and a Hölder stability in the determining of the conductivity by a single measurement on the lateral boundary. Our numerical examples show good reconstruction of the location and contrast of the conductivity function in three dimensions.

Page Manager: Webmaster|Last update: 9/11/2012
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