反应扩散方程的定性分析

A Qualitative Analysis of Reaction Diffusion Equations

本文给出了n维反应扩散系统在不同的边界条件下的定性分析。利用构造恰当的上、下解的方法 ,获得了解的不同的定性性质。包括依赖于时间的解的存在和有界性 ,解的渐近性。

This paper presents a qualitative analysis of a coupled system of n reaction diffusion equations under various boundary conditions.Through the suitable construction of an upper and lower solution,various qualitative properties of the solution are obtained.These include the existence and bounds of time dependent solutions and asymptotic behavior of the solution.