Scattering by the local perturbation of an open periodic waveguide in the half plane

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.