Scattering Resonances of Convex Obstacles for general boundary conditions

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.

arXiv comment54 pages

References in corpus (1)

• Resonance-free Region in scattering by a strictly convex obstacle

Cited by in corpus (1)

• On the multilevel internal structure of the asymptotic distribution of resonances