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Comptes Rendus Mathématique
Volume 351, n° 5-6
pages 187-190 (mars 2013)
Doi : 10.1016/j.crma.2013.04.004
Received : 17 December 2012 ;  accepted : 3 April 2013
A remark on Lipschitz stability for inverse problems
Une remarque sur la stabilité lipschitzienne pour les problèmes inverses
 

Laurent Bourgeois
 Laboratoire POEMS, ENSTA ParisTech, 828, boulevard des Maréchaux, 91762 Palaiseau cedex, France 

Abstract

An abstract Lipschitz stability estimate is proved for a class of inverse problems. It is then applied to the inverse medium problem for the Helmholtz equation.

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Résumé

Une estimation abstraite de stabilité lipschitzienne est prouvée pour une certaine classe de problèmes inverses. Elle est ensuite appliquée à un problème inverse de reconstruction dʼindice de réfraction pour lʼéquation de Helmholtz.

The full text of this article is available in PDF format.


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