On pullback attractor for non-autonomous weakly dissipative wave equations

被引：0

作者：

Yan, Xingjie ^{[1
]}

Zhong, Chengkui ^{[1
]}

机构：

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

来源：

DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL | 2009年 / 24卷 / 01期

关键词：

pullback D-attractor; measure of non-compactness; weakly dissipative wave equations; GLOBAL ATTRACTORS; DYNAMICAL-SYSTEMS; EXISTENCE;

D O I：

10.1080/14689360802475480

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We first present a necessary and sufficient condition for the existence of a pullback D-attractor for non-autonomous infinite-dimensional dynamical systems. Then, as an application, we apply our method to non-autonomous weakly dissipative wave equations and prove the existence of a strong pullback D-attractor in H(0)(1)(0, l) x L(2)(0, l).

引用

页码：97 / 108

页数：12

共 50 条

[41] Pullback attractors for non-autonomous reaction-diffusion equations on ℝn
Bixiang Wang
Frontiers of Mathematics in China, 2009, 4 : 563 - 583
[42] PULLBACK EXPONENTIAL ATTRACTORS FOR NON-AUTONOMOUS ABSTRACT RETARDED EVOLUTION EQUATIONS
Wei, Jinying
Li, Yongjun
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2022, 12 (04): : 1595 - 1612
[43] PULLBACK ATTRACTORS FOR NON-AUTONOMOUS PARABOLIC EQUATIONS INVOLVING GRUSHIN OPERATORS
Cung The Anh
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2010,
[44] Pullback attractors for non-autonomous reaction-diffusion equations on Rn
Wang, Bixiang
FRONTIERS OF MATHEMATICS IN CHINA, 2009, 4 (03) : 563 - 583
[45] On the existence of pullback attractors for non-autonomous reaction-diffusion equations
Wang, Yonghai
Zhong, Chengkui
DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2008, 23 (01): : 1 - 16
[46] Pullback attractors for non-autonomous reaction-diffusion equations in Lp
Li, Yongjun
Wang, Suyun
Wu, Hongqing
APPLIED MATHEMATICS AND COMPUTATION, 2009, 207 (02) : 373 - 379
[47] RANDOM PULLBACK ATTRACTOR FOR A NON-AUTONOMOUS MODIFIED SWIFT-HOHENBERG EQUATION WITH MULTIPLICATIVE NOISE
Li, Yongjun
Wei, Jinying
Lu, Zhengzhi
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2021, 11 (01): : 464 - 476
[48] The existence of a pullback attractor for the three dimensional non-autonomous planetary geostrophic viscous equations of large-scale ocean circulation
You, Bo
Li, Fang
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2015, 112 : 118 - 128
[49] Pullback trajectory attractor for nonautonomous wave equations
Yan, Xingjie
Yang, Rong
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2023, 119
[50] H2-boundedness of the pullback attractor for a non-autonomous reaction-diffusion equation
Anguiano, M.
Caraballo, T.
Real, J.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (02) : 876 - 880

← 1 2 3 4 5 →