In this note we review some recent results concerning the inverse inclusion problem. In particular we analyze the stability issue for defect contained in layered medium where the conductivity is different in each layer. We consider conductivities with special anisotropy. The modulus of continuity obtained is of logarithmic type, which as shown in Di Cristo and Rondi (Inverse Prob 19:685–701 [13]) turns out to be optimal.
Stable determination of an inclusion in a layered medium with special anisotropy
Di Cristo M.
2020-01-01
Abstract
In this note we review some recent results concerning the inverse inclusion problem. In particular we analyze the stability issue for defect contained in layered medium where the conductivity is different in each layer. We consider conductivities with special anisotropy. The modulus of continuity obtained is of logarithmic type, which as shown in Di Cristo and Rondi (Inverse Prob 19:685–701 [13]) turns out to be optimal.File in questo prodotto:
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