ZAREMBA'S BOUNDARY VALUE PROBLEM IN THE SMIRNOV CLASS OF HARMONIC FUNCTIONS IN DOMAINS WITH PIECEWISE-SMOOTH BOUNDARIES

被引：0
|
作者：
Khuskivadze, G. [1 ]
Paatashvili, V. [1 ]
机构：
[1] A Razmadze Math Inst, 1 M Aleksidze St, Tbilisi 0193, Georgia
来源：
MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS | 2010年 / 51卷
关键词：
Harmonic functions of Smirnov type; Zaremba's problem; mixed problem; weighted functions; Poisson integral; singular integral equation in a weight Lebesgue space;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Zaremba's problem is studied in weighted Smirnov classes of harmonic functions in domains bounded by arbitrary simple smooth curves as well as in some domains with piecewise-smooth boundaries. The conditions of solvability are obtained and the solutions are written in quadratures.
引用
收藏
页码：73 / 91
页数：19
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