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 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 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 journal › Article

    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, vol. 328, no. 8, pp. 607-611. https://doi.org/10.1016/S1620-7742(00)00011-8
    Alessandrini G, Beretta E, Rosset E, Vessella S. Problèmes inverses à frontières inconnues: Stabilité optimale. Comptes Rendus de l'Academie de Sciences - Serie IIb: Mecanique. 2000 Jan 1;328(8):607-611. https://doi.org/10.1016/S1620-7742(00)00011-8
    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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