Harmonic Green and Neumann functions for domains bounded by two intersecting circular arcs

DOI10.1080/17476933.2020.1816984zbMath1484.31001arXiv1904.04316OpenAlexW3100120611MaRDI QIDQ5037253

Hanxing Lin

Publication date: 28 February 2022

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.04316

zbMATH Keywords

Poisson equationdigoncircular polygonsparqueting-reflection principlecircle reflectionsharmonic Green and Neumann functions

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05)

Related Items (3)

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Cites Work

• Harmonic boundary value problems in half disc and half ring
• Green and Neumann functions for a plane degenerate circular domain
• 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
• How to find harmonic Green functions in the plane
• Remark on Robin problem for Poisson equation
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