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Scattering by the local perturbation of an open periodic waveguide in the half plane (1906.01180v2)

Published 4 Jun 2019 in math.AP

Abstract: We consider the scattering problem of the local perturbation of an open periodic waveguide in the half plane. Recently by Kirsch and Lechleiter, a new radiation condition was introduced in order to solve the unperturbed case. In this paper, with the same radiation condition and an additional assumption we show the well-posedness of the perturbed scattering problem.

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