Increasing stability for the inverse problem for the Schr\"odinger equation
Analysis of PDEs
2017-11-15 v1
Abstract
In this article, we study the increasing stability property for the determination of the potential in the Schr\"odinger equation from partial data. We shall assume that the inaccessible part of the boundary is flat and homogeneous boundary condition is prescribed on this part. In contrast to earlier works, we are able to deal with the case when potentials have some Sobolev regularity and also need not be compactly supported inside the domain.
Cite
@article{arxiv.1705.04127,
title = {Increasing stability for the inverse problem for the Schr\"odinger equation},
author = {Anupam Pal Choudhury and Horst Heck},
journal= {arXiv preprint arXiv:1705.04127},
year = {2017}
}