Time-dependent scattering theory on manifolds
Differential Geometry
2019-05-09 v1 Analysis of PDEs
Abstract
Based on our previous study [IS3] on the stationary scattering theory for the Schrodinger operator on a manifold possessing an escape function we complete our investigation by doing the time-dependent counterpart. A particular class of examples are manifolds with Euclidean and/or hyperbolic ends, possibly with unbounded and non-smooth obstacles. As an application we resolve a conjecture of [HPW] on cross-ends transmissions in its natural and strong form within the time-dependent framework.
Cite
@article{arxiv.1905.02942,
title = {Time-dependent scattering theory on manifolds},
author = {Kenichi Ito and Erik Skibsted},
journal= {arXiv preprint arXiv:1905.02942},
year = {2019}
}