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

2013/11/12 by Alexander Its, Its, Alexander, Elizabeth Its +1
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1311.2659

arxiv created 2013/11/12 · arxiv updated 2013/11/13

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.

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