一类非经典反应扩散方程全局吸引子的正则性

摘要

考虑了一类非经典反应扩散方程全局吸引子的正则性。利用渐近先验估计证明了系统在H0（Ω）中的全局吸引子A1在D（A）中有界，并进一步获得A1即为系统在D（A）中的全局吸引子A2。%This paper studies the regularity of global attractor for a nonclassical equation. It is proved that the global attractor A1 in H0 （Ω） is bounded in D（A） by asymptotic priori estimate method. Furthermore, it is proved that A1 is the same to the global attractor A2 in D（A）.