一类超双曲型方程基本解的结构及其应用

The Structure of Elementary Solution for a Ultra-hyperbolic Equation and Its Application

主要对多复变函数论中提出的一偏微分方程组中各方程线性组合方程的基本解的结构进行了研究 ,给出了方程组各方程的特征角面函数与基本解之间的关系。考查了线性组合方程的解在特征角面顶点的值 。

The structure of elementary solution for Linear combination equation of a system of partial differential equation in the theory of several complex variables is discussed.The relation between the characteristic conoid and the elementary solution in the equations is given.The value of solution for the linear equation at the conic point is derived,and the necessary condition satisfied by the Cauchy's problem solution is given.