Strong Exponential Attractors for Weakly Damped Semilinear Wave Equations

被引：0

作者：

Liu, Cuncai ^{[1
]}

Meng, Fengjuan ^{[1
]}

Zhang, Chang ^{[1
]}

机构：

[1] Jiangsu Univ Technol, Sch Math & Phys, Changzhou 213001, Jiangsu, Peoples R China

来源：

JOURNAL OF MATHEMATICS | 2020年 / 2020卷

关键词：

ENERGY CRITICAL WAVES; ASYMPTOTIC REGULARITY; GLOBAL EXISTENCE;

D O I：

10.1155/2020/6293746

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the longtime dynamics for the damped wave equation in a bounded smooth domain ofDouble-struck capital R-3. The exponential attractor is investigated in a strong energy space for the case of subquintic nonlinearity, which is based on the recent extension of the Strichartz estimate for the case of a bounded domain. The results obtained complete some previous works.

引用

页数：6

共 50 条

[1] Global attractors for damped semilinear wave equations
Ball, JM
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2004, 10 (1-2) : 31 - 52
[2] Exponential attractors for the strongly damped wave equations
Yang, Meihua
Sun, Chunyou
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (02) : 913 - 919
[3] Attractors for semilinear damped wave equations with an acoustic boundary condition
Frigeri, Sergio
[J]. JOURNAL OF EVOLUTION EQUATIONS, 2010, 10 (01) : 29 - 58
[4] ATTRACTORS FOR SEMILINEAR DAMPED WAVE-EQUATIONS ON R(3)
FEIREISL, E
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1994, 23 (02) : 187 - 195
[5] Attractors for semilinear damped wave equations with an acoustic boundary condition
Sergio Frigeri
[J]. Journal of Evolution Equations, 2010, 10 : 29 - 58
[6] Attractors for semilinear damped wave equations on arbitrary unbounded domains
Prizzi, Martino
Rybakowski, Krzysztof P.
[J]. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2008, 31 (01) : 49 - 82
[7] Exponential attractors for the strongly damped wave equations with critical exponent
Yansheng Zhong
[J]. Boundary Value Problems, 2016
[8] Exponential attractors for the strongly damped wave equations with critical exponent
Zhong, Yansheng
[J]. BOUNDARY VALUE PROBLEMS, 2016, : 1 - 18
[9] GLOBAL ATTRACTORS FOR SEMILINEAR DAMPED WAVE-EQUATIONS WITH SUPERCRITICAL EXPONENT
FEIREISL, E
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1995, 116 (02) : 431 - 447
[10] Global attractors for semilinear damped wave equations with critical exponent on Rn
Xiao, Haibin
[J]. CHAOS SOLITONS & FRACTALS, 2009, 41 (05) : 2546 - 2552

← 1 2 3 4 5 →