Uniqueness in potential scattering with reduced near field data
Mathematical Physics
2017-10-12 v3 Analysis of PDEs
math.MP
Abstract
We consider inverse potential scattering problems where the source of the incident waves is located on a smooth closed surface outside of the inhomogeneity of the media. The scattered waves are measured on the same surface at a fixed value of the energy. We show that this data determines the bounded potential uniquely.
Cite
@article{arxiv.1503.07106,
title = {Uniqueness in potential scattering with reduced near field data},
author = {Evgeny Lakshtanov and Boris Vainberg},
journal= {arXiv preprint arXiv:1503.07106},
year = {2017}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1501.03748