We prove a logarithmic stability estimate for a parabolic inverse problem concerning the localization of unknown cavities in a thermic conducting medium Omega in R-n, n greater than or equal to 2, from a single pair of boundary measurements of temperature and thermal flux.
A STABILITY RESULT IN THE LOCALIZATION OF THE CAVITIES IN A THERMIC CONDUCTING MEDIUM / B. CANUTO; E. ROSSET; S. VESSELLA. - In: ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS. - ISSN 1262-3377. - STAMPA. - 7:(2002), pp. 521-565. [10.1051/cocv:2002066]
A STABILITY RESULT IN THE LOCALIZATION OF THE CAVITIES IN A THERMIC CONDUCTING MEDIUM
VESSELLA, SERGIO
2002
Abstract
We prove a logarithmic stability estimate for a parabolic inverse problem concerning the localization of unknown cavities in a thermic conducting medium Omega in R-n, n greater than or equal to 2, from a single pair of boundary measurements of temperature and thermal flux.
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