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Chapitre D'ouvrage Année : 2018

Uniqueness, stability and numerical reconstruction of a time and space-dependent conductivity for an inverse hyperbolic problem

Résumé

This paper is devoted to the reconstruction of the time and space-dependent coefficient in an inverse hyperbolic problem in a bounded 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 possibility of the determination of the location and the large contrast of the space-dependent function in three dimensions.
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Dates et versions

hal-03560881 , version 1 (19-02-2022)

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Citer

L Beilina, Michel Cristofol, S Li. Uniqueness, stability and numerical reconstruction of a time and space-dependent conductivity for an inverse hyperbolic problem. Yu. G. Smirnov; L. Beilina. Non Linear and Inverse Problems in Electromagnetics, 243, Springer, pp.133-145, 2018, Springer Proceedings in Mathematics & Statistics, ⟨10.1007/978-3-319-94060-1_10⟩. ⟨hal-03560881⟩
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