Some stability results for anisotropic inverse problems

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• Eva Sincich (Università degli Studi di Trieste)
• Thursday 22 June 2023, 14:30-15:30
• Seminar Room 1, Newton Institute.

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RNTW04 - Synergistic workshop on Rich and Nonlinear tomography aimed at drawing together all strands of both methods and applications with new insights

In this talk we will present some recent stability results for anisotropic inverse problems. We first discuss the inverse problem of determining, the possibly anisotropic, conductivity of a body by means of the local Neumann to Dirichlet map on a curved portion $\Sigma$ of the boundary. We provide a Holder stability estimate on $\Sigma$ when the conductivity is a priori known to be a constant matrix near $\Sigma$. In the second part of the talk, we consider the inverse problem of determining an inclusion contained in a body for a Schrodinger type equation by means of local Cauchy data. Both the body and the inclusion are made by inhomogeneous and anisotropic materials. We establish a logarithmic stability estimate in terms of local Cauchy data. This presentation is based on joint works with Giovanni Alessandrini, Sonia Foschiatti and Romina Gaburro.

This talk is part of the Isaac Newton Institute Seminar Series series.

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