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math.FA2011
Counting the Resonances in High and Even Dimensional Obstacle Scattering
Lung-Hui Chen
In this paper, we give a polynomial lower bound for the resonances of perturbed by an obstacle in even-dimensional Euclidean spaces, . The proof is based on a Poisson…
math.FA2011
A Super-Exponential Decaying Property of Odd-Dimensional Wave Scattered by an Obstacle
Lung-Hui Chen
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 geodesi…