Scattering Theory for the Acoustic Wave Equation in an Arbitrary Exterior Domain
NAVAL RESEARCH LAB WASHINGTON DC
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In this report the authors studied the spectral theory of the operator that is induced from problems in the n-dimensional Euclidean space either in the exterior domain or in the whole space for the hyperbolic linear partial-differential equations with the generalized Neumann boundary condition. The resulting theory provides a foundation for studying the wave operator and scattering operator involved in scattering theory and possibly also for studying the respective inverse problem.
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