A Riemann-Hilbert boundary value problem in a triangle

被引：3

作者：

Akel, M. ^{[1
,2
]}

Alabbad, F. ^{[1
]}

机构：

[1] KFU, Coll Sci, Dept Math, Al Ahsaa 31982, Saudi Arabia

[2] South Valley Univ, Fac Sci, Dept Math, Qena 83523, Egypt

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 424卷 / 01期

关键词：

Riemann-Hilbert problem; Cauchy-Riemann equation; Pompeiu-type integral; Schwarz-type integral; Boundary value problems; DIRICHLET PROBLEM; GREEN-FUNCTIONS; EQUATION;

D O I：

10.1016/j.jmaa.2014.11.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article a Riemann-Hilbert boundary value problem on an isosceles orthogonal triangle is considered. Using explicit Schwarz-Poisson-type formulae for the triangle, Schwarz-type and Pompeiu-type operators are obtained. Boundary behaviors of these operators are discussed in detail. Finally, we investigate the Riemann-Hilbert boundary value problem for both homogeneous and inhomogeneous Cauchy-Riemann equations. An explicit solvability of the problem is obtained. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：523 / 536

页数：14

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