Scattering Resonances of Convex Obstacles for general boundary conditions
classification
🧮 math.AP
math-phmath.MP
keywords
boundaryresonancesbandsconditionsconvexdistributiongeneralobstacles
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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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