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

DOI10.1080/00036811.2014.926336zbMath1307.31006OpenAlexW1984739140WikidataQ58262198 ScholiaQ58262198MaRDI QIDQ2933124

Heinrich Begehr

Publication date: 10 December 2014

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2014.926336

zbMATH Keywords

Dirichlet problemPoisson equationGreen functionhyperbolic stripparqueting reflection principle

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Integral representations of solutions to PDEs (35C15) Boundary value problems in the complex plane (30E25) 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 (12)

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 Related to Complex Partial Differential Operators ⋮ Integral representations in the complex plane and iterated boundary value problems ⋮ Riemann-Hilbert-type boundary value problems on a half hexagon ⋮ Schwarz boundary value problem on Reuleaux triangle ⋮ Schwarz boundary value problem for the Cauchy-Riemann equation in a rectangle ⋮ Fundamental Solutions to the Laplacian in Plane Domains Bounded by Ellipses ⋮ Neumann function for a hyperbolic strip and a class of related plane domains ⋮ A Riemann-Hilbert boundary value problem in a triangle ⋮ Dirichlet problems in lens and lune ⋮ An iterative real sequence based on and providing a plane parqueting and harmonic Green functions

Cites Work

• Schwarz-type problem of nonhomogeneous Cauchy-Riemann equation on a triangle
• Boundary Value Problems and Method of Reflection for Quarter Ring and Half Hexagon
• How to find harmonic Green functions in the plane
• Harmonic Dirichlet problem for some equilateral triangle
• Modified harmonic Robin function
• Schwarz problem in lens and lune
• Unnamed Item

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