TRAJECTORY ATTRACTORS FOR NONCLASSICAL DIFFUSION EQUATIONS WITH FADING MEMORY  

作　　者：汪永海 王灵芝 

机构地区：[1]Department of Applied Mathematics, Donghua University [2]College of Management, Shanghai University of Engineering Science

出　　处：《Acta Mathematica Scientia》2013年第3期721-737,共17页数学物理学报（B辑英文版）

基　　金：supported by NSFC Grant (11031003);the Fundamental Research Funds for the Central Universities;support by Fund of excellent young teachers in Shanghai (shgcjs008);Initial Fund of SUES (A-0501-11-016)

摘　　要：In this article, we consider the existence of trajectory and global attractors for nonclassical diffusion equations with linear fading memory. For this purpose, we will apply the method presented by Chepyzhov and Miranville [7, 8], in which the authors provide some new ideas in describing the trajectory attractors for evolution equations with memory.In this article, we consider the existence of trajectory and global attractors for nonclassical diffusion equations with linear fading memory. For this purpose, we will apply the method presented by Chepyzhov and Miranville [7, 8], in which the authors provide some new ideas in describing the trajectory attractors for evolution equations with memory.

关 键 词：Trajectory attractor global attractor memory kernel 

分 类 号：O175[理学—数学]