Open Access
June 2009 Harmonic boundary value problems in half disc and half ring
Heinrich Begehr, Tatyana Vaitekhovich
Funct. Approx. Comment. Math. 40(2): 251-282 (June 2009). DOI: 10.7169/facm/1246454030

Abstract

The Schwarz problem for the Cauchy-Riemann equation and the Dirichlet and Neumann problems for the Poisson equation are explicitly solved in a half disc and a half ring of the complex plane. The respective Poisson kernels and the Green and Neumann functions are given.

Citation

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Heinrich Begehr. Tatyana Vaitekhovich. "Harmonic boundary value problems in half disc and half ring." Funct. Approx. Comment. Math. 40 (2) 251 - 282, June 2009. https://doi.org/10.7169/facm/1246454030

Information

Published: June 2009
First available in Project Euclid: 1 July 2009

zbMATH: 1183.30039
MathSciNet: MR2543558
Digital Object Identifier: 10.7169/facm/1246454030

Subjects:
Primary: 30E25
Secondary: 31A25 , 35J25

Keywords: Cauchy-Riemann equation , Dirichlet problem , half disc , half ring , Neumann problem , Poisson equation , Schwarz problem

Rights: Copyright © 2009 Adam Mickiewicz University

Vol.40 • No. 2 • June 2009
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