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

B. Canuto; Edi Rosset; S. Vessella

ESAIM: Control, Optimisation and Calculus of Variations (2010)

- Volume: 7, page 521-565
- ISSN: 1292-8119

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topCanuto, B., Rosset, Edi, and Vessella, S.. "A stability result in the localization of cavities in a thermic conducting medium." ESAIM: Control, Optimisation and Calculus of Variations 7 (2010): 521-565. <http://eudml.org/doc/90634>.

@article{Canuto2010,

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.
},

author = {Canuto, B., Rosset, Edi, Vessella, S.},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Parabolic equations; strong
unique continuation; stability; inverse problems.; parabolic equations; strong unique continuation; inverse problems},

language = {eng},

month = {3},

pages = {521-565},

publisher = {EDP Sciences},

title = {A stability result in the localization of cavities in a thermic conducting medium},

url = {http://eudml.org/doc/90634},

volume = {7},

year = {2010},

}

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

DA - 2010/3//

PB - EDP Sciences

VL - 7

SP - 521

EP - 565

AB -
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.

LA - eng

KW - Parabolic equations; strong
unique continuation; stability; inverse problems.; parabolic equations; strong unique continuation; inverse problems

UR - http://eudml.org/doc/90634

ER -

## References

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