General Energy Decay of Solutions for a Wave Equation with Nonlocal Damping and Nonlinear Boundary Damping

被引：5

作者：

Li Donghao ^{[1
]}

Zhang Hongwei ^{[1
]}

Hu Qingying ^{[1
]}

机构：

[1] Henan Univ Technol, Dept Math, Zhengzhou 450001, Peoples R China

来源：

JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS | 2019年 / 32卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Wave equation; general decay; nonlocal damping; boundary damping; LONG-TIME DYNAMICS; PLATE EQUATION; GLOBAL ATTRACTOR; BLOW-UP; EXISTENCE; INFINITY;

D O I：

10.4208/jpde.v32.n4.6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a nonlinear wave equation with nonlocal damping and nonlinear boundary damping. We prove a general energy decay property for solutions in terms of coefficient of the frictional boundary damping by using of the multiplier technique from the idea of Martinez [1]. Our result extends and improves the result in the literature such as the work by Louredo, Ferreira de Araujo and Mirandain [2] in which only exponential energy decay is considered. Furthermore, we get also the energy decay for the equation with nonlocal damping only but without nonlinear boundary damping.

引用

页码：369 / 380

页数：12

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