Lipschitz stable determination of polyhedral conductivity inclusions from local boundary measurements

2022/02/24 by Aspri, Andrea, Beretta, Elena, Francini, Elisa +1
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2202.12130

Abstract

We consider the problem of determining a polyhedral conductivity inclusion embedded in a homogeneous isotropic medium from boundary measurements. We prove global Lipschitz stability for the polyhedral inclusion from the local Dirichlet-to-Neumann map extending in a highly nontrivial way the results obtained in [18] and [19] in the two-dimensional case to the three-dimensional setting.

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