Global attractors for a nonclassical diffusion equation

被引：57
作者：
Sun, Chun You [1 ]
Wang, Su Yun
Zhong, Cheng Kui
机构：
[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
[2] Lanzhou Teachers Coll, Dept Math, Lanzhou 730070, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2007年 / 23卷 / 07期
基金：
中国国家自然科学基金;
关键词：
nonclassical diffusion equation; critical exponent; polynomial growth of arbitrary order; global attractor; asymptotic a priori estimate;
D O I：
10.1007/s10114-005-0909-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the existence of global attractors in H-0(1)(Omega) 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.
引用
收藏
页码：1271 / 1280
页数：10
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