空间扩散方程Cauchy问题的解及其正规性

Solution and Its Normality of Three Dimensional Diffusion of Cauchy Problem

文章研究了三维扩散方程Cauchy问题。使用变数替换方法得到一个形式解表达式,最后给出了这个形式解是正规解的一个条件。此结果有利于理论分析和应用。

The three-dimensional diffusion equations of Cauchy problem is studied. First one form solution is introduced, and then using variable replacement method, another form solution is gotten. Finally, a condition that this form solution is normal solution is put forward. This result mainly facilitates the theoretical analysis and application.