利用Green函数求解上半空间的Dirichlet问题

Solve Dirichlet Problem of Semi-infinite half-space By Green Function

本文通过对格林函数的研究,得到格林函数与Dirichlet问题的解之间的关系以及格林函数的性质.并且利用初等方法求出上半空间的格林函数,很方便得到这类特殊区域上Dirichlet问题的解.

The relationship between Green function and solution of Dirichlet Problem and nature of Green function were gained by research of Green function. Also it was very easy to gain the solution of Diriehlet problem in this kind of special area by using the elementary method to solve Green function of Semi-infinite half-space.