An Explicit Lower Bound for Blow Up Time in a Class of Nonlinear Wave Equations with Nonlinear Damping and Source Terms

被引：0

作者：

Xiao-ming Peng

Ya-dong Shang

Xue-qin Wang

机构：

[1] Guangdong University of Finance and Economics,School of Statistics and Mathematics

[2] Guangzhou University,School of Mathematics and Information Science

[3] South China Agricultural University,College of Mathematics and Informatics

来源：

Acta Mathematicae Applicatae Sinica, English Series | 2021年 / 37卷

关键词：

lower bound; blow up; nonlinear wave equation; nonlinear damping; nonlinear source; 35L82; 58J45;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper deals with an initial boundary value problem for a class of nonlinear wave equation with nonlinear damping and source terms whose solution may blow up in finite time. An explicit lower bound for blow up time is determined by means of a differential inequality argument if blow up occurs.

引用

页码：148 / 154

页数：6

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