Lens rigidity in scattering by non-trapping obstacles
Mathematical Physics
2017-09-07 v1 Differential Geometry
Dynamical Systems
math.MP
Abstract
We prove that if two non-trapping obstacles in satisfy some rather weak non-degeneracy conditions and the scattering rays in their exteriors have (almost) the same travelling times or (almost) the same scattering length spectrum, then they coincide.
Cite
@article{arxiv.1709.01692,
title = {Lens rigidity in scattering by non-trapping obstacles},
author = {Luchezar Stoyanov},
journal= {arXiv preprint arXiv:1709.01692},
year = {2017}
}