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

Keywords: 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}, zbl = {1225.35255}, mrnumber = {1925040}, 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/ UR - https://zbmath.org/?q=an%3A1225.35255 UR - https://www.ams.org/mathscinet-getitem?mr=1925040 UR - https://doi.org/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 https://doi.org/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, Volume 7 (2002), pp. 521-565. doi : 10.1051/cocv:2002066. http://www.numdam.org/articles/10.1051/cocv:2002066/

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