A Riemann-Hilbert approach to the Laplace equation
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Publication:1593773
DOI10.1006/jmaa.2000.7052zbMath0972.35024OpenAlexW2060679157MaRDI QIDQ1593773
Athanassios S. Fokas, Andrei A. Kapaev
Publication date: 13 November 2001
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jmaa.2000.7052
Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Riemann-Hilbert problems in context of PDEs (35Q15)
Related Items (5)
The Unified Transform and the Water Wave Problem ⋮ Eigenvalues for the Laplace operator in the interior of an equilateral triangle ⋮ Analytic solution of an exterior Neumann problem in a non-convex domain ⋮ Laplace’s equation in the exterior of a convex polygon. The equilateral triangle ⋮ The Poisson and the Biharmonic Equations in the Interior of a Convex Polygon
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