Determining an anisotropic conductivity by boundary measurements: stability at the boundary
Analysis of PDEs
2023-03-31 v1
Abstract
We consider the inverse problem of determining, the possibly anisotropic, conductivity of a body by means of the so called local Neumann to Dirichlet map on a curved portion of the boundary. Motivated by the uniqueness result for piecewise constant anisotropic conductivities proved in \cite{Al-dH-G}, we provide a H\"{o}lder stability estimate on when the conductivity is a priori known to be a constant matrix near .
Keywords
Cite
@article{arxiv.2303.17362,
title = {Determining an anisotropic conductivity by boundary measurements: stability at the boundary},
author = {Giovanni Alessandrini and Romina Gaburro and Eva Sincich},
journal= {arXiv preprint arXiv:2303.17362},
year = {2023}
}