Stability result for elliptic inverse periodic coefficient problem by partial Dirichlet-to-Neumann map
Analysis of PDEs
2016-01-21 v1
Abstract
We study the inverse problem of identifying a periodic potential perturbation of the Dirichlet Laplacian acting in an infinite cylindrical domain, whose cross section is assumed to be bounded. We prove log-log stable determination of the potential with respect to the partial Dirichlet-to-Neumann map, where the Neumann data is taken on slightly more than half of the boundary of the domain.
Cite
@article{arxiv.1601.05355,
title = {Stability result for elliptic inverse periodic coefficient problem by partial Dirichlet-to-Neumann map},
author = {Mourad Choulli and Yavar Kian and Eric Soccorsi},
journal= {arXiv preprint arXiv:1601.05355},
year = {2016}
}