一类高阶方程的基本解与解的中量定理

The Elementary Solution and the Mean Value Theorem of the Solution for a Higher Order Partial Differential Equation

本文主要讨论一类四阶方程,首先通过特征角面函数构造基本解,而后运用基本公式、基本解讨论此类方程的解的中量性质。

This paper mainly decusses a certain partial differential equation for the fourth order, first and foremost constructs the elementary solution through the medium of the characteristic conoid function,and next to descusses the mean value properties of solutions for this equation by means of the fundamental formular and the elementary solution.