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

Published online by Cambridge University Press:  15 September 2002

B. Canuto ,
Edi Rosset  and
S. Vessella
B. Canuto
Affiliation:
Laboratoire de Mathématiques Appliquées, UMR 7641 du CNRS, Université de Versailles, 45 avenue des États-Unis, 78035 Versailles Cedex, France; canuto@math.uvsq.fr.
Edi Rosset
Affiliation:
Dipartimento di Scienze Matematiche, Università degli Studi di Trieste, Via Valerio 12/1, 34100 Trieste, Italy; rossedi@univ.trieste.it.
S. Vessella
Affiliation:
DIMAD, Università degli Studi di Firenze, Via C. Lombroso 6/17, 50134 Firenze, Italy; sergio.vessella@dmd.unifi.it.
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Abstract

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

Keywords

Parabolic equationsstrong unique continuationstabilityinverse problems.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 7 , 2002 , pp. 521 - 565
Copyright
© EDP Sciences, SMAI, 2002

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