反应扩散方程的全局吸引子

The Global Attractors for Reaction-diffusion Equations

考虑了一类反应扩散方程的吸引问题,利用单调技术和上下解方法,通过考虑反应扩散方程对应的抛物型方程组的最大最小解,从而求得了原问题的吸引子。

By monotony method and upper and lower solution method, i.e. by studying the maximal and minimal solutions, the asymptotic behavior of the reaction - diffusion equations is researched, and the existence of the global attractors is proved.