Global Attractors for a Nonclassical Diffusion Equation  

作　　者：Chun You SUN Su Yun WANG Cheng Kui ZHONG 

机构地区：[1]School of Mathematics and Statistics,Lanzhou University [2]Department of Mathematics,Lanzhou Teachers College

出　　处：《Acta Mathematica Sinica,English Series》2007年第7期1271-1280,共10页数学学报（英文版）

基　　金：Supported in part by the NSFC,Grant(10471056);Trans-Century Training Programme Foundation for the Talents of the State Education Commission

摘　　要：We prove the existence of global attractors in H0^1 （Ω） for a nonclassical diffusion equation. Two types of nonlinearity f are considered： one is the critical exponent, and the other is the polynomial growth of arbitrary order.We prove the existence of global attractors in H0^1 （Ω） for a nonclassical diffusion equation. Two types of nonlinearity f are considered： one is the critical exponent, and the other is the polynomial growth of arbitrary order.

关 键 词：nonclassical diffusion equation critical exponent polynomial growth of arbitrary order global attractor asymptotic a priori estimate 

分 类 号：O175[理学—数学]