Smoothness dependent stability in corrosion detection
Analysis of PDEs
2016-11-04 v1
Abstract
We consider the stability issue for the determination of a linear corrosion in a conductor by a single electrostatic measurement. We established a global log-log type stability when the corroded boundary is simply Lipschitz. We also improve such a result obtaining a global log stability by assuming that the damaged boundary is -smooth.
Keywords
Cite
@article{arxiv.1406.5907,
title = {Smoothness dependent stability in corrosion detection},
author = {Eva Sincich},
journal= {arXiv preprint arXiv:1406.5907},
year = {2016}
}