Boundary value problems to first-order complex partial differential equations in a ring domain

被引：21
|
作者：
Vaitekhovich, T. S. [1 ]
机构：
[1] Belarusian State Univ Minsk, Mech Math Dept, Minsk, BELARUS
来源：
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2008年 / 19卷 / 3-4期
关键词：
analytic function; inhomogeneous Cauchy-Riemann equation; Schwarz; Dirichlet; Neumann; Robin boundary value problem; ring domain;
D O I：
10.1080/10652460701736569
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Four basic boundary value problems, namely, Schwarz, Dirichlet, Neumann, Robin problems for analytic functions and more generally for the inhomogeneous Cauchy-Riemann equation are investigated in a concentric ring domain (concentric annulus). The representations to the solutions and solvability conditions are given in an explicit form.
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页码：211 / 233
页数：23
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