Asymptotic behaviour of the wave equation with nonlocal weak damping and anti-damping

被引：13
|
作者：
Zhao, Chunyan [1 ]
Zhao, Chunxiang [1 ]
Zhong, Chengkui [1 ]
机构：
[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2020年 / 490卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Wave equation; Nonlocal weak damping; Nonlocal weak anti-damping; Global attractor; LONG-TIME DYNAMICS; GLOBAL ATTRACTORS; MODELS;
D O I：
10.1016/j.jmaa.2020.124186
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we consider the initial-boundary value problem of the wave equation with nonlocal weak damping, nonlocal weak anti-damping and nonlinear source term. For this problem we establish the global well-posedness and the existence of global attractor under the assumption that the nonlinear source term is of subcritical growth. (C) 2020 Elsevier Inc. All rights reserved.
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页数：16
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