Fundamental Solutions to the Laplacian in Plane Domains Bounded by Ellipses

DOI10.1007/978-981-10-4642-1_25zbMath1442.31001OpenAlexW2606544275MaRDI QIDQ5115008

Heinrich Begehr

Publication date: 29 June 2020

Published in: Communications in Computer and Information Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-10-4642-1_25

zbMATH Keywords

ellipseRobin boundary conditionsPoisson equationharmonic functionsring domain

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

Polyanalytic boundary value problems for planar domains with harmonic Green function

Cites Work

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• The third boundary condition -- was it Robin's?
• Robin functions and energy functionals of multiply connected domains
• Polyharmonic Robin problem for complex linear partial differential equations
• Green function for a hyperbolic strip and a class of related plane domains
• Neumann function for a hyperbolic strip and a class of related plane domains
• Boundary value problems to first-order complex partial differential equations in a ring domain
• Some harmonic Robin functions in the complex plane
• Some boundary value problems for a beltrami equation
• Modified harmonic Robin function
• Remark on Robin problem for Poisson equation
• Schwarz problem in lens and lune
• Robin boundary value problem for the Cauchy-Riemann operator