Time-dependent attractor of wave equations with nonlinear damping and linear memory

被引：2
|
作者：
Ma, Qiaozhen [1 ]
Wang, Jing [1 ]
Liu, Tingting [1 ]
机构：
[1] Northwest Normal Univ, Sch Math & Stat, Lanzhou 730070, Gansu, Peoples R China
来源：
OPEN MATHEMATICS | 2019年 / 17卷
关键词：
wave equation; linear memory; contractive functions; time-dependent attractor; GLOBAL ATTRACTORS; ASYMPTOTIC REGULARITY; UNIFORM ATTRACTORS; DYNAMICS; EXISTENCE; STABILITY; BEHAVIOR;
D O I：
10.1515/math-2019-0008
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we consider the long-time behavior of solutions for the wave equation with nonlinear damping and linear memory. Within the theory of process on time-dependent spaces, we verify the process is asymptotically compact by using the contractive functions method, and then obtain the existence of the time-dependent attractor in H-0(1)(Omega) x L-2(Omega) x L-mu(2)( R+; H-0(1)(Omega)).
引用
收藏
页码：89 / 103
页数：15
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