A global Carleman estimate in a transmission wave equation and application to a one-measurement inverse problem. - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Inverse Problems Année : 2007

A global Carleman estimate in a transmission wave equation and application to a one-measurement inverse problem.

Résumé

We consider a transmission wave equation in two embedded domains in $R^2$ , where the speed is $a1 > 0$ in the inner domain and $a2 > 0$ in the outer domain. We prove a global Carleman inequality for this problem under the hypothesis that the inner domain is strictly convex and $a1 > a2$ . As a consequence of this inequality, uniqueness and Lip- schitz stability are obtained for the inverse problem of retrieving a stationary potential for the wave equation with Dirichlet data and discontinuous principal coefficient from a single time-dependent Neumann boundary measurement.
Fichier principal
Vignette du fichier
BMO.pdf (299.75 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00271925 , version 1 (10-04-2008)

Identifiants

Citer

Lucie Baudouin, Alberto Mercado, Axel Osses. A global Carleman estimate in a transmission wave equation and application to a one-measurement inverse problem.. Inverse Problems, 2007, 23 (1), pp.257-278. ⟨hal-00271925⟩
162 Consultations
179 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More