The Parqueting-Reflection Principle

DOI10.1007/978-3-319-12577-0_11zbMath1331.30028OpenAlexW118194123MaRDI QIDQ2949258

Heinrich Begehr

Publication date: 8 October 2015

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-12577-0_11

zbMATH Keywords

Green's functionCauchy-Riemann equationscomplex partial differential equationsparqueting-reflection principle

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Boundary value and inverse problems for harmonic functions in two dimensions (31A25) Green's functions for elliptic equations (35J08)

Related Items (2)

Integral Representations Related to Complex Partial Differential Operators ⋮ Integral representations in the complex plane and iterated boundary value problems

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
• Two basic boundary-value problems for the inhomogeneous Cauchy–Riemann equation in an infinite sector
• Boundary Value Problems and Method of Reflection for Quarter Ring and Half Hexagon
• Harmonic Dirichlet Problem in a Ring Sector
• How to find harmonic Green functions in the plane
• Harmonic Dirichlet problem for some equilateral triangle
• Harmonic boundary value problems in a quarter ring domain
• Schwarz problem in lens and lune

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