Time-dependent global attractor for extensible Berger equation

被引：17
作者：
Meng, Fengjuan [1 ]
Wu, Jie [2 ]
Zhao, Chunxiang [3 ]
机构：
[1] Jiangsu Univ Technol, Sch Math & Phys, Changzhou 213001, Peoples R China
[2] Natl Univ Singapore, Dept Math, Block S17,10 Lower Kent Ridge Rd, Singapore 119076, Singapore
[3] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2019年 / 469卷 / 02期
关键词：
Time-dependent attractor; Berger equation; Critical exponent; SEMILINEAR WAVE-EQUATION; EXPONENTIAL ATTRACTORS; STABILITY; DYNAMICS; EXISTENCE; BEAM;
D O I：
10.1016/j.jmaa.2018.09.050
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the asymptotic behavior of the nonautonomous Berger equation epsilon(t)u(tt) + Delta(2)u - (Q + integral(Omega) vertical bar del u vertical bar(2) dx) Delta u + g(u(t)) + phi(u) = f, t > tau, on a bounded smooth domain Omega subset of R-N with hinged boundary condition, where epsilon(t) is a decreasing function vanishing at infinity. Under suitable assumptions, we establish an invariant time-dependent global attractor within the theory of process on time-dependent space. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码：1045 / 1069
页数：25
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