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.
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.
@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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