Schwarz boundary value problem for the Cauchy-Riemann equation in a rectangle

DOI10.1186/s13661-016-0520-zzbMath1331.30035OpenAlexW2239205293WikidataQ59468441 ScholiaQ59468441MaRDI QIDQ904005

Xuefang Zhao, Ying Wang

Publication date: 15 January 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-016-0520-z

zbMATH Keywords

Cauchy-Riemann equationSchwarz problemSchwarz-Poisson formula

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Boundary value problems in the complex plane (30E25) Boundary value problems for systems of linear first-order PDEs (35F45)

Related Items (2)

Riemann-Hilbert-type boundary value problems on a half hexagon ⋮ An iterative real sequence based on and providing a plane parqueting and harmonic Green functions

Cites Work

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• Two boundary-value problems for the Cauchy-Riemann equation in a sector
• Schwarz-type problem of nonhomogeneous Cauchy-Riemann equation on a triangle
• The Schwarz problem for polyanalytic functions
• Erratum: Harmonic boundary value problems in a quarter ring domain [Adv. Pure Appl. Math. 3 (2012), 393–419]
• Two basic boundary-value problems for the inhomogeneous Cauchy–Riemann equation in an infinite sector
• 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
• Boundary value problems to first-order complex partial differential equations in a ring domain
• Schwarz problem in lens and lune

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