The integral representation for a solution of the 2-D Dirichlet problem with boundary data on closed and open curves

被引：4

作者：

Krutitskii, PA ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Fac Phys, Dept Math, Moscow 119899, Russia

来源：

MATHEMATIKA | 2000年 / 47卷 / 93-94期

关键词：

D O I：

10.1112/S0025579300015941

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The integral representation for the solution of the 2-D Dirichlet problem for harmonic functions with boundary data on closed and open curves is obtained. The solution is expressed as a sum of potentials, the density of which obeys the uniquely solvable Fredholm integral equation of the second kind.

引用

页码：339 / 354

页数：16

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