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Riemann-Hilbert Approach to the Helmholtz Equation in a quarter-plane. Revisited

arXiv:1311.2659

Abstract

We revisit the Helmholts equation in a quarter-plane in the framework of the Riemann-Hilbert approach to linear boundary value problems suggested in late 90s by A. Fokas. We show the role of the Sommerfeld radiation condition in Fokas's scheme.