A remark on Lipschitz stability for inverse problems
نویسنده
چکیده
An abstract Lipschitz stability estimate is proved for a class of inverse problems. It is then applied to the inverse Robin problem for the Laplace equation and to the inverse medium problem for the Helmholtz equation. Key-words: Derivative in the sense of Fréchet, Lipschitz stability, inverse Robin problem, inverse medium problem ha l-0 07 41 89 2, v er si on 1 15 O ct 2 01 2 Une remarque sur la stabilité de type Lipschitz pour les problèmes inverses Résumé : Une résultat abstrait de stabilité Lipschitzienne est montré pour une certaine classe de problèmes inverses. Il est ensuite appliqué au problème inverse de Robin pour le Laplacien et pour un problème inverse de reconstruction de milieu pour l’équation d’Helmholtz Mots-clés : Différentielle au sens de Fréchet, Stabilité Lipschitzienne, Problème inverse de Robin, Problème inverse de reconstruction de milieu ha l-0 07 41 89 2, v er si on 1 15 O ct 2 01 2 A remark on Lipschitz stability for inverse problems 3
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