A Super-Exponential Decaying Property of Odd-Dimensional Wave Scattered by an Obstacle
Functional Analysis
2011-01-21 v1
Abstract
We examine an inverse backscattering property of wave motion imposed by an obstacle. We show that if the wave propagator decays super-exponentially along the back-scattered geodesics, then the involved scatterer must be trivial. In particular, if the fundamental solution decays super-exponentially some time after t=0, it vanishes for all time. We use finite speed of propagation in this article.
Keywords
Cite
@article{arxiv.1101.3850,
title = {A Super-Exponential Decaying Property of Odd-Dimensional Wave Scattered by an Obstacle},
author = {Lung-Hui Chen},
journal= {arXiv preprint arXiv:1101.3850},
year = {2011}
}