Neumann function for a hyperbolic strip and a class of related plane domains

DOI10.1002/mana.201500501zbMath1366.31002OpenAlexW2530599415MaRDI QIDQ2977570

Mohamed S. Akel, Heinrich Begehr

Publication date: 18 April 2017

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201500501

zbMATH Keywords

Poisson equationNeumann problemparqueting-reflection principleharmonic Neumann functionhyperbolic strip

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary value and inverse problems for harmonic functions in two dimensions (31A25) Green's functions for elliptic equations (35J08)

Related Items (7)

COMPLEX BOUNDARY VALUE PROBLEMS FOR THE CAUCHY–RIEMANN OPERATOR ON A TRIANGLE ⋮ Harmonic Green and Neumann functions for domains bounded by two intersecting circular arcs ⋮ 1, 2, 3, some inductive real sequences and a beautiful algebraic pattern ⋮ Integral representations in the complex plane and iterated boundary value problems ⋮ Representation of the Green's function of the Dirichlet problem for the polyharmonic equation in the ball ⋮ Fundamental Solutions to the Laplacian in Plane Domains Bounded by Ellipses ⋮ Polyanalytic boundary value problems for planar domains with harmonic Green function

Cites Work

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• Schwarz-type problem of nonhomogeneous Cauchy-Riemann equation on a triangle
• Harmonic boundary value problems in half disc and half ring
• Green function for a hyperbolic strip and a class of related plane domains
• How to find harmonic Green functions in the plane
• Harmonic Dirichlet problem for some equilateral triangle
• A Riemann-Hilbert boundary value problem in a bounded sector
• Schwarz problem in lens and lune
• Iterated Neumann problem for the higher order Poisson equation

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