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Journal Articles Comptes rendus de l'Académie des sciences. Série I, Mathématique Year : 2013

Lipschitz stability estimate in the inverse Robin problem for the Stokes system

Abstract

We are interested in the inverse problem of recovering a Robin coefficient defined on some non accessible part of the boundary from available data on another part of the boundary in the nonstationary Stokes system. We prove a Lipschitz stability estimate under the a priori assumption that the Robin coefficient lives in some compact and convex subset of a finite dimensional vectorial subspace of the set of continuous functions. To do so, we use a theorem proved by L. Bourgeois which establishes Lipschitz stability estimates for a class of inverse problems in an abstract framework.
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hal-00803413 , version 1 (21-03-2013)

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Anne-Claire Egloffe. Lipschitz stability estimate in the inverse Robin problem for the Stokes system. Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2013. ⟨hal-00803413⟩
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