Geodesic
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

Voir la notice de l'article provenant de la source Numdam

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≥2, from a single pair of boundary measurements of temperature and thermal flux.

DOI : 10.1051/cocv:2002066
Classification : 35R30, 35R25, 35R35
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},
     mrnumber = {1925040},
     zbl = {1225.35255},
     language = {en},
     url = {http://geodesic.mathdoc.fr/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://geodesic.mathdoc.fr/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://geodesic.mathdoc.fr/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

Cité par Sources :