INVERSE STABLE RECONSTRUCTION OF 3 COEFFICIENTS FOR THE HETEROGENEOUS MAXWELL EQUATIONS BY FINITE NUMBER OF PARTIAL INTERIOR OBSERVATIONS - Ecole Centrale de Marseille Accéder directement au contenu
Article Dans Une Revue (Article De Synthèse) Inverse Problems Année : 2024

INVERSE STABLE RECONSTRUCTION OF 3 COEFFICIENTS FOR THE HETEROGENEOUS MAXWELL EQUATIONS BY FINITE NUMBER OF PARTIAL INTERIOR OBSERVATIONS

Résumé

We consider an inverse problem of determining the isotropic inhomogeneous electromagnetic coefficients of the non-stationary Maxwell's equations in a bounded domain of R 3 by means of a finite number of interior data of as less as possible components of the solutions. Our main result is a Lipschitz stability estimate for the inverse problem and our proof relies on a Carleman estimate for the heterogeneous Maxwell's equations.
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Dates et versions

hal-04162121 , version 1 (14-07-2023)

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Michel Cristofol, Masahiro Yamamoto. INVERSE STABLE RECONSTRUCTION OF 3 COEFFICIENTS FOR THE HETEROGENEOUS MAXWELL EQUATIONS BY FINITE NUMBER OF PARTIAL INTERIOR OBSERVATIONS. Inverse Problems, 2024, ⟨10.1088/1361-6420/ad473a⟩. ⟨hal-04162121⟩
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