GLOBAL ATTRACTORS FOR STRONGLY DAMPED WAVE EQUATIONS WITH DISPLACEMENT DEPENDENT DAMPING AND NONLINEAR SOURCE TERM OF CRITICAL EXPONENT

被引：7

作者：

Khanmamedov, A. Kh ^{[1
]}

机构：

[1] Hacettepe Univ, Dept Math, Fac Sci, TR-06800 Ankara, Turkey

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2011年 / 31卷 / 01期

关键词：

Attractors; strongly damped wave equations; ASYMPTOTIC REGULARITY; MEMORY;

D O I：

10.3934/dcds.2011.31.119

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper the long time behaviour of the solutions of the 3-D strongly damped wave equation is studied. It is shown that the semigroup generated by this equation possesses a global attractor in H(0)(1)(Omega) X L(2) (Q) and then it is proved that this is also a global attractor in (H(2)(Omega)boolean AND H(0)(1)(Omega)) x H(0)(1)(Omega).

引用

页码：119 / 138

页数：20

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