非经典扩散方程的时间依赖强全局吸引子的存在性

Existence of time-dependent strong global attractors for the nonclassical diffusion equation

摘要:

本文在具有光滑边界的有界域上考虑了非经典扩散方程并在强拓扑空间中讨论了该问题解的长时间行为. 所用方法基于Meng和Liu引入并且证明的时间依赖全局吸引子存在性的充分条件.

Abstract:

We consider the nonclassical diffusion equation on bounded domain with smooth boundary, discuss the long-time behavior of solutions for this problem in strong topological space. The used method is a sufficient condition for the existence of time-dependent global attractor introduced and proved by Meng and Liu.