N维扩散方程解的界面性态估计

Asymptotic Behaviour of Interface of Solution of N Dimensional Diffusion Equation

本文考察N维空间中—类退化扩散方程Cauchy问题解的界面性态,通过构造一类函数利用比较原理,得到了解的界面性态估计.

In this paper , the asymptotic behaviour of the interface of weak solution for a class of degenerate diffusion equation is considered . With comparison principle and some constructed functions , some estimates of the behaviour of the interface as t→+∞ are established .