Abstract

The aim of this paper is the identification of the thickness of a highlyconductive thin layer from boundary measurements. In the introduction,we propose an asymptotic model of the stiff transmission problem. Inthis context, the thickness of the thin layer appears to be a parameter ofthe boundary condition of a Ventcel equation. Our goal is to prove theidentifiability of this parameter from boundary measurements. After studying theregularity of the direct problem for non-smooth data, identifiability andweak stability results are proved by introducing a suitable admissibleparameter space. Numerical experiments are given to illustrate the results.

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