Resonance-free Region in scattering by a strictly convex obstacle
classification
🧮 math.AP
math-phmath.MP
keywords
boundaryconditionscatteringconvexcubicfreeobstacleregion
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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.
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