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Scattering Resonances of Convex Obstacles for General Boundary Conditions

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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 band satisfies Weyl’s law.

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Authors and Affiliations

  1. Department of Mathematics, University of California, Evans Hall, Berkeley, CA, 94720, USA

    Long Jin

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  1. Long Jin
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Correspondence to Long Jin.

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Communicated by S. Zelditch

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Jin, L. Scattering Resonances of Convex Obstacles for General Boundary Conditions. Commun. Math. Phys. 335, 759–807 (2015). https://doi.org/10.1007/s00220-014-2250-3

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  • DOI: https://doi.org/10.1007/s00220-014-2250-3

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