caa a22 4500 378896512 CHVBK 20180305123507.0 cr unu---uuuuu 161128e20041001xx s 000 0 eng 10.1515/1569394042248247 doi (NATIONALLICENCE)gruyter-10.1515/1569394042248247 Choulli M. Département de Mathématiques, Université de Metz, Ile du Saulcy, 57045 Metz cedex, France. E-mail: choulli@math.univ-metz.fr An inverse problem in corrosion detection: stability estimates [Elektronische Daten] [M. Choulli] We consider the problem of detecting corrosion damage on an inaccessible part of a specimen. We adopt a model in which the corrosion damage is represented by an unknown boundary coefficient appearing in a third kind boundary value problem for Laplace's equation. The associated inverse problem consists in the determination of the unknown boundary coefficient from an overdetermined data on an accessible part of the boundary. In the present paper we are interested in the derivation of stability estimates for this inverse problem. We first prove a local Lipschitz stability estimate for an arbitrary smooth domain. Next, we establish a log-log stability estimate in the case of a rectangular domain. Copyright 2004, Walter de Gruyter Journal of Inverse and Ill-posed Problems Walter de Gruyter 12/4(2004-10-01), 349-367 0928-0219 12:4<349 2004 12 jiip https://doi.org/10.1515/1569394042248247 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/1569394042248247 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Choulli M. Département de Mathématiques, Université de Metz, Ile du Saulcy, 57045 Metz cedex, France. E-mail: choulli@math.univ-metz.fr NATIONALLICENCE 773 0- Journal of Inverse and Ill-posed Problems Walter de Gruyter 12/4(2004-10-01), 349-367 0928-0219 12:4<349 2004 12 jiip CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter