Scattering Resonances of Convex Obstacles for general boundary conditions

Published 19 Jan 2014 in math.AP, math-ph, and math.MP | (1401.4741v1)

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.

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Long Jin

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