Riemann-Hilbert Approach to the Helmholtz Equation in a quarter-plane. Revisited
classification
🧮 math-ph
math.MP
keywords
approachequationfokasquarter-planeriemann-hilbertboundaryconditionframework
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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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