Optimal stability estimate of the inverse boundary value problem by partial measurements
Analysis of PDEs
2007-08-27 v1
Abstract
In this work we establish log-type stability estimates for the inverse potential and conductivity problems with partial Dirichlet-to-Neumann map, where the Dirichlet data is homogeneous on the inaccessible part. This result, to some extent, improves our former result on the partial data problem in which log-log-type estimates were derived.
Cite
@article{arxiv.0708.3289,
title = {Optimal stability estimate of the inverse boundary value problem by partial measurements},
author = {Horst Heck and Jenn-Nan Wang},
journal= {arXiv preprint arXiv:0708.3289},
year = {2007}
}