We prove a logarithmic stability estimate for a parabolic inverse problem concerning the localization of unknown cavities in a thermic conducting medium in , , from a single pair of boundary measurements of temperature and thermal flux.
Mots clés : parabolic equations, strong unique continuation, stability, inverse problems
@article{COCV_2002__7__521_0,
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://www.numdam.org/articles/10.1051/cocv:2002066/}
}
TY - JOUR AU - Canuto, B. AU - Rosset, Edi AU - Vessella, S. TI - A stability result in the localization of cavities in a thermic conducting medium JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2002 SP - 521 EP - 565 VL - 7 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/cocv:2002066/ DO - 10.1051/cocv:2002066 LA - en ID - COCV_2002__7__521_0 ER -
%0 Journal Article %A Canuto, B. %A Rosset, Edi %A Vessella, S. %T A stability result in the localization of cavities in a thermic conducting medium %J ESAIM: Control, Optimisation and Calculus of Variations %D 2002 %P 521-565 %V 7 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/cocv:2002066/ %R 10.1051/cocv:2002066 %G en %F COCV_2002__7__521_0
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. http://www.numdam.org/articles/10.1051/cocv:2002066/
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