In this paper we study the stability issue of the inverse problem of determining an inclusion contained in a stratified medium assuming the conductivity to be isotropic and variable coefficients. We prove a modulus of continuity of logarithmic type which, according to examples showed in [Di Cristo M, Rondi L. Examples of exponential instability for inverse inclusion and scattering problems. Inverse Probl. 2003;19:685-701], turns out to be optimal.
Stable determination of an inhomogeneous inclusion in a layered medium
Di Cristo M.;
2022-01-01
Abstract
In this paper we study the stability issue of the inverse problem of determining an inclusion contained in a stratified medium assuming the conductivity to be isotropic and variable coefficients. We prove a modulus of continuity of logarithmic type which, according to examples showed in [Di Cristo M, Rondi L. Examples of exponential instability for inverse inclusion and scattering problems. Inverse Probl. 2003;19:685-701], turns out to be optimal.File in questo prodotto:
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