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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@article{CRMATH_2013__351_5-6_187_0,
author = {Bourgeois, Laurent},
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},
url = {http://archive.numdam.org/articles/10.1016/j.crma.2013.04.004/}
}
TY - JOUR AU - Bourgeois, Laurent TI - A remark on Lipschitz stability for inverse problems JO - Comptes Rendus. Mathématique PY - 2013 SP - 187 EP - 190 VL - 351 IS - 5-6 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2013.04.004/ DO - 10.1016/j.crma.2013.04.004 LA - en ID - CRMATH_2013__351_5-6_187_0 ER -
%0 Journal Article %A Bourgeois, Laurent %T A remark on Lipschitz stability for inverse problems %J Comptes Rendus. Mathématique %D 2013 %P 187-190 %V 351 %N 5-6 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2013.04.004/ %R 10.1016/j.crma.2013.04.004 %G en %F CRMATH_2013__351_5-6_187_0
Bourgeois, Laurent. 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. http://archive.numdam.org/articles/10.1016/j.crma.2013.04.004/
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