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Boundary stabilization of the wave and Schrödinger equations in exterior domains

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  • In this paper we complete our works on the local energy decay for the evolution damping problem in exterior domains. We consider the wave and Schrödinger equations in an exterior domain with dissipative boundary condition. We study the distribution of resonances under some natural assumptions on the behavior of the geodesics in order to deduce the uniform local energy decay.
    Mathematics Subject Classification: Primary: 35B40, 35L20, 35B35.


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