Lipschitz stable determination of polygonal conductivity inclusions in a layered medium from the Dirichlet to Neumann map
Analysis of PDEs
2020-09-01 v1
Abstract
Using a distributed representation formula of the Gateaux derivative of the Dirichlet to Neumann map with respect to movements of a polygonal conductivity inclusion, [11], we extend the results obtained in [8] proving global Lipschitz stability for the determination of a polygonal conductivity inclusion embedded in a layered medium from knowledge of the Dirichlet to Neumann map.
Keywords
Cite
@article{arxiv.2008.12951,
title = {Lipschitz stable determination of polygonal conductivity inclusions in a layered medium from the Dirichlet to Neumann map},
author = {Elena Beretta and Elisa Francini and Sergio Vessella},
journal= {arXiv preprint arXiv:2008.12951},
year = {2020}
}