Exponential attractors for the strongly damped wave equations

被引：30

作者：

Yang, Meihua ^{[2
]}

Sun, Chunyou ^{[1
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China

[2] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2010年 / 11卷 / 02期

关键词：

Strongly damped wave equation; Critical exponent; Exponential attractor; ASYMPTOTIC REGULARITY; CRITICAL NONLINEARITIES; BEHAVIOR; DYNAMICS;

D O I：

10.1016/j.nonrwa.2009.01.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For the strongly damped wave equation with critical nonlinearity, we First show the existence of a (H-0(1)(Omega) x L-2(Omega), H-0(1)(Omega) x H-0(1)(Omega))-global attractor when the external forcing g is an element of H-1; then we prove that for each T > 0 fixed, there is abounded (in H-2 x H-1) set which attracts exponentially every H-1 x L-2 -bounded set w.r.t. the stronger H-1 x H-1-norm for all t >= T and has finite fractal dimension in H-0(1)(Omega) x H-0(1)(Omega) for the case g is an element of L-2(Omega). (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：913 / 919

页数：7

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