Resonance-free Region in scattering by a strictly convex obstacle
Analysis of PDEs
2015-06-11 v2 Mathematical Physics
math.MP
Abstract
We prove the existence of a resonance free region in scattering by a strictly convex obstacle with the Robin boundary condition. More precisely, we show that the scattering resonances lie below a cubic curve which is the same as in the case of the Neumann boundary condition. This generalizes earlier results on cubic poles free regions obtained for the Dirichlet boundary condition.
Keywords
Cite
@article{arxiv.1208.5511,
title = {Resonance-free Region in scattering by a strictly convex obstacle},
author = {Long Jin},
journal= {arXiv preprint arXiv:1208.5511},
year = {2015}
}
Comments
29 pages, 2 figures