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
收藏
页码：148 / 154
页数：6
相关论文
共 50 条
  • [31] Blow up of a Solution for a System of Nonlinear Higher-Order Wave Equations with Strong Damping Terms
    Polat, Necat
    Piskin, Erhan
    FIRST INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2012), 2012, 1470 : 203 - 206
  • [32] Blow Up of Solutions for a System of Nonlinear Viscoelastic Equations with Damping Terms in Rn
    Liu, Wenjun
    Yu, Shengqi
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2009, 64 (3-4): : 180 - 184
  • [33] Asymptotic stability and blow-up for the wave equation with degenerate nonlocal nonlinear damping and source terms
    Zhang, Hongwei
    Li, Donghao
    Zhang, Wenxiu
    Hu, Qingying
    APPLICABLE ANALYSIS, 2022, 101 (09) : 3170 - 3181
  • [34] Exact conditions of blow-up and global existence for the nonlinear wave equation with damping and source terms
    Yi Jiang
    Yongle Zhang
    Nonlinear Dynamics, 2014, 76 : 139 - 146
  • [35] Blow-up of solution for quasilinear viscoelastic wave equation with boundary nonlinear damping and source terms
    Mi Jin Lee
    Jum-Ran Kang
    Sun-Hye Park
    Boundary Value Problems, 2019
  • [36] Blow-up of solution for quasilinear viscoelastic wave equation with boundary nonlinear damping and source terms
    Lee, Mi Jin
    Kang, Jum-Ran
    Park, Sun-Hye
    BOUNDARY VALUE PROBLEMS, 2019, 2019 (1)
  • [37] Exact conditions of blow-up and global existence for the nonlinear wave equation with damping and source terms
    Jiang, Yi
    Zhang, Yongle
    NONLINEAR DYNAMICS, 2014, 76 (01) : 139 - 146
  • [38] Non-existence of global solutions for a class of wave equations with nonlinear damping and source terms
    Wu, Shun-Tang
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2011, 141 : 865 - 880
  • [39] Lower bounds for the blow-up time to a nonlinear viscoelastic wave equation with strong damping
    Peng, Xiaoming
    Shang, Yadong
    Zheng, Xiaoxiao
    APPLIED MATHEMATICS LETTERS, 2018, 76 : 66 - 73
  • [40] Lower bounds for the blow-up time to a nonlinear viscoelastic wave equation with strong damping
    Peng, Xiaoming
    Zheng, Xiaoxiao
    Shang, Yadong
    AIMS MATHEMATICS, 2018, 3 (04): : 514 - 523
12345