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.
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.
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Laurent Bourgeois 1
@article{CRMATH_2013__351_5-6_187_0, author = {Laurent Bourgeois}, title = {A remark on {Lipschitz} stability for inverse problems}, journal = {Comptes Rendus. Math\'ematique}, pages = {187--190}, publisher = {Elsevier}, volume = {351}, number = {5-6}, year = {2013}, doi = {10.1016/j.crma.2013.04.004}, language = {en}, }
Laurent Bourgeois. A remark on Lipschitz stability for inverse problems. Comptes Rendus. Mathématique, Volume 351 (2013) no. 5-6, pp. 187-190. doi : 10.1016/j.crma.2013.04.004. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2013.04.004/
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