On a transform method for the Laplace equation in a polygon

DOI10.1093/imamat/68.4.355zbMath1170.37331OpenAlexW2039125670MaRDI QIDQ4461832

Athanassios S. Fokas, Andrei A. Kapaev

Publication date: 18 May 2004

Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imamat/68.4.355

zbMATH Keywords

boundary value problemsLaplace equationRiemann-HilbertWiener-HopfPoincaré boundary conditions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Boundary value problems in the complex plane (30E25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Riemann-Hilbert problems in context of PDEs (35Q15) Integral transforms, operational calculus (44A99)

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