Lipschitz stability estimate in the inverse Robin problem for the Stokes system
Analysis of PDEs
2013-09-11 v1
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 \textit{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.
Cite
@article{arxiv.1303.5389,
title = {Lipschitz stability estimate in the inverse Robin problem for the Stokes system},
author = {Anne-Claire Egloffe},
journal= {arXiv preprint arXiv:1303.5389},
year = {2013}
}