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

页码：73 / 91

页数：19

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