摘要
多维波动方程和热传导方程的初值问题，当初始函数是多项式或多重调和函数的特殊情况下，可以给出一个简便的求解方法，对方程是变系数的某些特殊情形也作了讨论。
Initial －value problems for multidimensional wave equations and heat conduction equations may be solved in a simple method when intial value functions are polynomials or multi －harmonic functions,and some special conditions of variable cofficient are also discussed.
关键词
波动方程
热传导方程
多项式
调和函数
wave equation,heat conduction equation,polynomial,harmonic function
