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arXiv · 1401.4741

Scattering Resonances of Convex Obstacles for general boundary conditions

Long Jin
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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. 2014-01-19. Scattering Resonances of Convex Obstacles for general boundary conditions. https://doi.org/10.1007/s00220-014-2250-3

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