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

被引：0

作者：

Ying Wang

Xuefang Zhao

机构：

[1] Zhongnan University of Economics and Law,School of Statistics and Mathematics

[2] Hunan University,College of Mathematics and Econometrics

来源：

Boundary Value Problems | / 2016卷

关键词：

Schwarz-Poisson formula; Cauchy-Riemann equation; Schwarz problem; 30E25; 35C15; 35F45;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, Schwarz problem for the inhomogeneous Cauchy-Riemann equation in a rectangle is investigated explicitly. By the parqueting reflection principle and the Cauchy-Pompeiu formula, a modified Schwarz-Poisson representation formula in a rectangle is constructed. In particular, the boundary behaviors for the related Schwarz-type and Pompeiu-type operators at the corner points are discussed in detail.

引用

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