Scattering Resonances of Convex Obstacles for general boundary conditions
Analysis of PDEs
2015-06-18 v1 Mathematical Physics
math.MP
Abstract
We study the distribution of resonances for smooth strictly convex obstacles under general boundary conditions. We show that under a pinched curvature condition for the boundary of the obstacle, the resonances are separated into cubic bands and the distribution in each bands satisfies Weyl's law.
Keywords
Cite
@article{arxiv.1401.4741,
title = {Scattering Resonances of Convex Obstacles for general boundary conditions},
author = {Long Jin},
journal= {arXiv preprint arXiv:1401.4741},
year = {2015}
}
Comments
54 pages