Problèmes inverses à frontières inconnues: Stabilité optimale

Giovanni Alessandrini; Elena Beretta; Edi Rosset; Sergio Vessella

doi:10.1016/S1620-7742(00)00011-8

Problèmes inverses à frontières inconnues: Stabilité optimale

Translated title of the contribution: Inverse boundary value problems with unknown boundaries: Optimal stability

Giovanni Alessandrini, Elena Beretta, Edi Rosset, Sergio Vessella

Mathematics

Research output: Contribution to journal › Article

Abstract

In this paper we obtain essentially best possible stability estimates for a class of inverse problems associated to elliptic boundary value problems in which the role of the unknown is played by an inaccessible part of the boundary and the role of the data is played by overdetermined boundary data for the elliptic equation assigned on the remaining, accessible, part of the boundary. We treat the case of arbitrary space dimension n ≥ 2. Such problems arise in applied contexts of nondestructive testing of materials for either electric or thermal conductors, and are known to be ill-posed.

Original language	French
Pages (from-to)	607-611
Number of pages	5
Journal	Comptes Rendus de l'Academie de Sciences - Serie IIb: Mecanique
Volume	328
Issue number	8
DOIs	https://doi.org/10.1016/S1620-7742(00)00011-8
Publication status	Published - Jan 1 2000

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Keywords

Cavity
Corrosion
Inverse boundary value problems
Stability
Unique continuation

ASJC Scopus subject areas

Geotechnical Engineering and Engineering Geology

Cite this

Alessandrini, G., Beretta, E., Rosset, E., & Vessella, S. (2000). Problèmes inverses à frontières inconnues: Stabilité optimale. Comptes Rendus de l'Academie de Sciences - Serie IIb: Mecanique, 328(8), 607-611. https://doi.org/10.1016/S1620-7742(00)00011-8

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Access to Document

10.1016/S1620-7742(00)00011-8