A stability result in the localization of cavities in a thermic conducting medium

Canuto, B.; Rosset, Edi; Vessella, S.

doi:10.1051/cocv:2002066

Geodesic

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A stability result in the localization of cavities in a thermic conducting medium

Canuto, B. ; Rosset, Edi ; Vessella, S.

ESAIM: Control, Optimisation and Calculus of Variations, Tome 7 (2002), pp. 521-565

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Résumé

We prove a logarithmic stability estimate for a parabolic inverse problem concerning the localization of unknown cavities in a thermic conducting medium $Ω$ in $ℝ^{n}$ , $n \geq 2$ , from a single pair of boundary measurements of temperature and thermal flux.

EuDML MR Zbl

DOI : 10.1051/cocv:2002066

Classification : 35R30, 35R25, 35R35
Keywords: parabolic equations, strong unique continuation, stability, inverse problems

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     author = {Canuto, B. and Rosset, Edi and Vessella, S.},
     title = {A stability result in the localization of cavities in a thermic conducting medium},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {521--565},
     publisher = {EDP-Sciences},
     volume = {7},
     year = {2002},
     doi = {10.1051/cocv:2002066},
     mrnumber = {1925040},
     zbl = {1225.35255},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2002066/}
}

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Canuto, B.; Rosset, Edi; Vessella, S. A stability result in the localization of cavities in a thermic conducting medium. ESAIM: Control, Optimisation and Calculus of Variations, Tome 7 (2002), pp. 521-565. doi: 10.1051/cocv:2002066

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