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

B. Canuto; Edi Rosset; S. Vessella — 2002

ESAIM: Control, Optimisation and Calculus of Variations

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

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

B. Canuto; Edi Rosset; S. Vessella — 2010

ESAIM: Control, Optimisation and Calculus of Variations

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.

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