Lipschitz stable determination of polygonal conductivity inclusions in a layered medium from the Dirichlet to Neumann map

preprint2020arXivOpen access

Abstract

Using a distributed representation formula of the Gateaux derivative of the Dirichlet to Neumann map with respect to movements of a polygonal conductivity inclusion, [11], we extend the results obtained in [8] proving global Lipschitz stability for the determination of a polygonal conductivity inclusion embedded in a layered medium from knowledge of the Dirichlet to Neumann map.

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