Optimal stability for a first order coefficient in a non-self-adjoint wave equation from dirichlet-to-neumann mapReport as inadecuate




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1 LAMSIN - Laboratoire de Modélisation Mathématique et Numérique dans les Sciences de l-Ingénieur

Abstract : This paper is focused on the study of an inverse problem for a non-self-adjoint hyperbolic equation. More precisely, we attempt to stably recover a first order coefficient appearing in a wave equation from the knowledge of Neumann boundary data. We show in dimension n greater than two, a stability estimate of Hölder type for the inverse problem under consideration. The proof involves the reduction to an auxiliary inverse problem for an electromagnetic wave equation and the use of an appropriate Carleman estimate.

Keywords : Stability result Inverse problem Carleman estimate Dirichlet-to-Neumann map





Author: Mourad Bellassoued - Ibtissem Ben Aïcha -

Source: https://hal.archives-ouvertes.fr/



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