Lipschitz stable determination of polyhedral conductivity inclusions from local boundary measurements
Analysis of PDEs
2022-07-07 v2
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.
Keywords
Cite
@article{arxiv.2202.12130,
title = {Lipschitz stable determination of polyhedral conductivity inclusions from local boundary measurements},
author = {Andrea Aspri and Elena Beretta and Elisa Francini and Sergio Vessella},
journal= {arXiv preprint arXiv:2202.12130},
year = {2022}
}