Harmonic Green and Neumann representations in a triangle, quarter-disc and octo-plane

DOI10.1142/9789814313179_0010zbMath1266.31003OpenAlexW2333470705MaRDI QIDQ4919426

Heinrich Begehr, M.-R. Costache, Tatyana Vaitekhovich, S. Tappert

Publication date: 14 May 2013

Published in: Progress in Analysis and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/9789814313179_0010

zbMATH Keywords

triangleGreen functionPoisson kernelNeumann functionrepresentation formulasocto-planequarter-disc

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Fundamental solutions to PDEs (35A08) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)

Related Items (2)

Integral Representations Related to Complex Partial Differential Operators ⋮ Polyanalytic boundary value problems for planar domains with harmonic Green function

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