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

页码：89 / 103

页数：15

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