The inverse Robin boundary value problem in a half-space
Analysis of PDEs
2014-06-10 v2
Abstract
We study the inverse Robin problem for the Schr\"odinger equation in a half-space. The potential is assumed to be compactly supported. We first solve the direct problem for dimensions two and three. We then show that the Robin-to-Robin map uniquely determines the potential q.
Cite
@article{arxiv.1311.6947,
title = {The inverse Robin boundary value problem in a half-space},
author = {Lassi Päivärinta and Miren Zubeldia},
journal= {arXiv preprint arXiv:1311.6947},
year = {2014}
}