一类奇异偏微分方程的化简方法

The Reduction Method of A Type of Singular Partial Differential Equations

针对一类在原点有奇异性的偏微分方程,本文用一复数域内奇异常微分方程全纯解的存在唯一性的结论,给出了一种具体的双全纯变换,将之化为更简形式.

Using the theory with respect to the existence and uniqueness of the holomorphic solution to a singular ordinary differential equation in the complex domain,this paper constructs a biholomorphic transformation to reduce a partial differential equation with singularity at the origin to a more simple form.