Global attractors for plate equations with critical exponent in locally uniform spaces

被引：27
|
作者：
Yue, Gaocheng [1 ]
Zhong, Chengkui [1 ]
机构：
[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 09期
关键词：
Plate equations; Locally uniform spaces; Asymptotic compact; Compensated compactness function; SEMILINEAR WAVE-EQUATION; UNBOUNDED DOMAIN; PARABOLIC EQUATIONS; DYNAMICS;
D O I：
10.1016/j.na.2009.02.089
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A plate equation with critical exponent in locally uniform spaces with a coefficient beta(x) belonging to the locally uniform spaces L(lu)(P)(R(N)) is studied. This equation is shown to generate a dissipative semigroup in locally uniform spaces (H) over dot(lu)(2) (R(N)) x (L) over dot(lu)(2) (R(N)), which possesses global attractors in weighted spaces H(rho)(2) (R(N)) x L(rho)(2) (R(N)). (C) 2009 Elsevier Ltd. All rights reserved.
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页码：4105 / 4114
页数：10
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