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二元复变函数在多连通双圆柱区域上的Dirichlet边值问题
引用本文:王莉萍.二元复变函数在多连通双圆柱区域上的Dirichlet边值问题[J].中国海洋大学学报(自然科学版),1992(1).
作者姓名:王莉萍
作者单位:青岛海洋大学应用数学系
摘    要:通过连续构造函数方法,证明多连通双圆柱区域上调和函数的Dirichlet边值问题的可解性,并利用调和测度,证明了解析函数的Dirichlet边值问题的可解性。

关 键 词:调和函数  解析函数  Dirichlet边值问题  调和测度

DIRICHLET BOUNDARY VALUE PROBLEMS FOR ANALYTIC FUNCTIONS OF COMPLEX VARIABLES IN SEVERAL CONNECTED BICYLINDER DOMAIN
Wang Liping.DIRICHLET BOUNDARY VALUE PROBLEMS FOR ANALYTIC FUNCTIONS OF COMPLEX VARIABLES IN SEVERAL CONNECTED BICYLINDER DOMAIN[J].Periodical of Ocean University of China,1992(1).
Authors:Wang Liping
Institution:Department of Applied Mathematics
Abstract:In this paper,we have proved solvability for Dirichlct boundary value problems of harmonic function in several connected double bicylinder domain by use of method of continuous constructing function.By harmonic measure,we have proved solvability for Dirichlct boundary value problems of analytic function.
Keywords:Dirichlet boundary value problems  harmonic measure  harmonic function  analytic function
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