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

Research output: Contribution to journalArticle

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 languageFrench
Pages (from-to)607-611
Number of pages5
JournalComptes Rendus de l'Academie de Sciences - Serie IIb: Mecanique
Volume328
Issue number8
DOIs
StatePublished - Jan 1 2000

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Convergence of numerical methods
Nondestructive examination
Inverse problems
Boundary value problems
nondestructive testing
inverse problem
Hot Temperature

Keywords

  • Cavity
  • Corrosion
  • Inverse boundary value problems
  • Stability
  • Unique continuation

ASJC Scopus subject areas

  • Geotechnical Engineering and Engineering Geology

Cite this

Problèmes inverses à frontières inconnues : Stabilité optimale. / Alessandrini, Giovanni; Beretta, Elena; Rosset, Edi; Vessella, Sergio.

In: Comptes Rendus de l'Academie de Sciences - Serie IIb: Mecanique, Vol. 328, No. 8, 01.01.2000, p. 607-611.

Research output: Contribution to journalArticle

Alessandrini, Giovanni ; Beretta, Elena ; Rosset, Edi ; Vessella, Sergio. / Problèmes inverses à frontières inconnues : Stabilité optimale. In: Comptes Rendus de l'Academie de Sciences - Serie IIb: Mecanique. 2000 ; Vol. 328, No. 8. pp. 607-611.
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