On the global existence of small data classical solutions to a semilinear wave equation with a time-dependent damping

被引：1
|
作者：
Xiao, Changwang [1 ]
Guo, Fei [1 ,2 ]
机构：
[1] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Peoples R China
[2] Nanjing Normal Univ, Jiangsu Key Lab NSLSCS, Nanjing 210023, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 18期
关键词：
Glassey conjecture; global existence; semilinear wave equation; structural damping; BLOW-UP; DISSIPATION;
D O I：
10.1002/mma.7728
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a one-dimension semilinear wave equation with a time-dependent damping and power type nonlinearity, which only depends on the derivatives of the unknown function. Employing the global iteration method, we give a simple proof of the global existence of the small data classical solution to the equation for any given nonlinear power exponent which is bigger than 1.
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页码：14593 / 14605
页数：13
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