| Issue |
ESAIM: COCV
Volume 7, 2002
|
|
|---|---|---|
| Page(s) | 521 - 565 | |
| DOI | https://doi.org/10.1051/cocv:2002066 | |
| Published online | 15 September 2002 | |
A stability result in the localization of cavities in a thermic conducting medium
1
Laboratoire de Mathématiques Appliquées, UMR 7641 du CNRS,
Université de Versailles,
45 avenue des États-Unis, 78035 Versailles Cedex, France;
canuto@math.uvsq.fr.
2
Dipartimento di Scienze Matematiche,
Università degli Studi di Trieste,
Via Valerio 12/1, 34100 Trieste, Italy; rossedi@univ.trieste.it.
3
DIMAD,
Università degli Studi di Firenze,
Via C. Lombroso 6/17, 50134 Firenze, Italy; sergio.vessella@dmd.unifi.it.
Received:
27
September
2001
Revised:
28
May
2002
We prove a logarithmic stability estimate for
a parabolic inverse problem concerning the localization of unknown
cavities in a thermic
conducting medium Ω in 
, n ≥ 2, from a single
pair of boundary
measurements of temperature and thermal flux.
Mathematics Subject Classification: 35R30 / 35R25 / 35R35
Key words: Parabolic equations / strong unique continuation / stability / inverse problems.
© EDP Sciences, SMAI, 2002
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