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
收藏
页码：523 / 536
页数：14
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