A note on blow-up of solutions for a class of fourth-order wave equation with viscous damping term

被引：8
|
作者：
Zhao, Weifan [1 ]
Liu, Wenjun [1 ]
机构：
[1] Nanjing Univ Informat Sci & Technol, Coll Math & Stat, Nanjing, Jiangsu, Peoples R China
来源：
APPLICABLE ANALYSIS | 2018年 / 97卷 / 09期
基金：
中国国家自然科学基金;
关键词：
Wave equation; viscous damping term; blow up; positive initial energy; EXISTENCE;
D O I：
10.1080/00036811.2017.1313410
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note, we study a class of fourth-order wave equation with viscous damping term and illuminate that the condition on the relationship between a and p in Theorem 4.2 of Xu et al. (Appl Anal. 2013; 92(7): 14031416) can be removed. This is achieved by adopting and modifying the so-called concavity method. Furthermore, we establish a blow-up result for positive initial energy without the relationship between a and p as well.
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页码：1496 / 1504
页数：9
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