11 research outputs found

    Resonance-free Region in scattering by a strictly convex obstacle

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    We prove the existence of a resonance free region in scattering by a strictly convex obstacle with the Robin boundary condition. More precisely, we show that the scattering resonances lie below a cubic curve which is the same as in the case of the Neumann boundary condition. This generalizes earlier results on cubic poles free regions obtained for the Dirichlet boundary condition.Comment: 29 pages, 2 figure

    Royen’s Proof of the Gaussian Correlation Inequality

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