UPPER SEMICONTINUITY OF PULLBACK ATTRACTORS FOR NON-AUTONOMOUS GENERALIZED 2D PARABOLIC EQUATIONS

被引：1

作者：

Park, Jong Yeoul ^{[1
]}

Park, Sun-Hye ^{[2
]}

机构：

[1] Pusan Natl Univ, Dept Math, Busan 609735, South Korea

[2] Pusan Natl Univ, Ctr Educ Accreditat, Busan 609735, South Korea

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2015年 / 52卷 / 06期

基金：

新加坡国家研究基金会;

关键词：

upper semicontinuity; generalized parabolic system; pullback attractor;

D O I：

10.4134/JKMS.2015.52.6.1149

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with a generalized 2D parabolic equation with a nonautonomous perturbation -Delta u(t) + alpha(2)Delta(2)u(t)+ mu Delta(2)(u) + del.(F) over bar + B(u,u) = is an element of g(x,t) Under some proper assumptions on the external force term g, the upper semicontinuity of pullback attractors is proved. More precisely, it is shown that the pullback attractor {A(is an element of)(t)}(t is an element of R) of the equation with is an element of> 0 converges to the global attractor A of the equation with is an element of- 0.

引用

页码：1149 / 1159

页数：11

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