Stability estimates for determination of potential from the impedance boundary map
Analysis of PDEs
2013-06-27 v3 Mathematical Physics
math.MP
Abstract
We study the impedance boundary map (or Robin-to-Robin map) for the Schrodinger equation in open bounded demain at fixed energy in multidimensions. We give global stability estimates for determining potential from these boundary data and, as corollary, from the Cauchy data set. Our results include also, in particular, an extension of the Alessandrini identity to the case of the impedance boundary map.
Cite
@article{arxiv.1112.3728,
title = {Stability estimates for determination of potential from the impedance boundary map},
author = {Mikhail Isaev and Roman Novikov},
journal= {arXiv preprint arXiv:1112.3728},
year = {2013}
}