中文摘要：

给出了Laplace方程和热方程基本的关系和应用.在更广的函数类中,应用基本解给出了Poisson方程和热方程解的表达公式,推广了文献中的结果.

英文摘要：

In this paper, the relationship and applications of fundamental solutions for Laplace equation and heat equation are studied. In the more extensive function spaces,the formulas of solutions to Poisson equa- tion and heat equation by fundamental solutions are given,which generalize the results in literatures.