| Abstract: |
| In this talk, we investigate the nonlinear inverse problem of recovering a polyhedral inclusion in a three-dimensional homogeneous isotropic conducting body from boundary measurements. We consider the conductivity equation and establish a Lipschitz stability estimate for polyhedral conductivity inclusions, measured in the Hausdorff distance, in terms of the local Dirichlet-to-Neumann map. As a byproduct, we derive a uniqueness result that is new in this general framework. This is joint work with Elena Beretta (NYU Abu Dhabi), Elisa Francini, and Sergio Vessella (University of Florence). |
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