A Super-Exponential Decaying Property of Odd-Dimensional Wave Scattered by an Obstacle

Details A Super-Exponential Decaying Property of Odd-Dimensional Wave Scattered by an Obstacle A Super-Exponential Decaying Property of Odd-Dimensional Wave Scattered by an Obstacle

2011-01-20

arxiv.org/abs/1101.3850v1

Mathematics

Functional Analysis

Scientific paper

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.

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