| Abstract: |
| In this talk, we address the nonlinear inverse problem of identifying polyhedral inclusions within a three-dimensional homogeneous isotropic conducting body using boundary measurements. Our focus is on the conductivity equation, where we derive a Lipschitz stability estimate for the Hausdorff distance between polyhedral inclusions, based on the local Dirichlet-to-Neumann (DtN) map. Additionally, we present a new uniqueness result in this general framework. This work is the result of a collaboration with Elena Beretta (NYU Abu Dhabi), Elisa Francini, and Sergio Vessella (University of Florence). |
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