On an integral representation of the solution of the Laplace equation with mixed boundary conditions

被引：0

作者：

T. E. Moiseev

机构：

[1] Moscow State University,

来源：

Differential Equations | 2011年 / 47卷

关键词：

Harmonic Function; Integral Representation; Nontrivial Solution; Uniform Convergence; Laplace Equation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We obtain an integral representation of the solution of the Laplace equation with three distinct boundary conditions. Depending on the statement of the problem, the homogeneous boundary value problem may have nontrivial solutions; in other cases, the solution of the homogeneous problem is zero. Note that the inhomogeneous problem is always solvable.

引用

页码：1461 / 1467

页数：6

共 50 条

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