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.

引用

页码：14593 / 14605

页数：13

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