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Article Dans Une Revue Mathematical Methods in the Applied Sciences Année : 2018

Determining the conductivity for a nonautonomous hyperbolic operator in a cylindrical domain

Résumé

This paper is devoted to the reconstruction of the conductivity coefficient for a nonautonomous hyperbolic operator an infinite cylindrical domain. Applying a local Carleman estimate, we prove the uniqueness and a Holder stability in the determination of the conductivity using a single measurement data on the lateral boundary. Our numerical examples show good reconstruction of the location and contrast of the conductivity function in 3 dimensions.

Dates et versions

hal-02051774 , version 1 (28-02-2019)

Identifiants

Citer

Larisa Beilina, Michel Cristofol, Shumin Li. Determining the conductivity for a nonautonomous hyperbolic operator in a cylindrical domain. Mathematical Methods in the Applied Sciences, 2018, 41 (5), pp.2012-2030. ⟨10.1002/mma.4728⟩. ⟨hal-02051774⟩
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