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

Authors Larisa Beilina
Michel Cristofol
Shumin Li
Published in ArXiv
Publication year 2016
Published at Department of Mathematical Sciences, Mathematics
Language en
Subject categories Numerical analysis, Mathematics


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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