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arXiv · 1905.02942

Time-dependent scattering theory on manifolds

Kenichi Ito·Erik Skibsted
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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.

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Kenichi Ito, Erik Skibsted. 2019-05-08. Time-dependent scattering theory on manifolds. https://arxiv.org/abs/1905.02942

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