scholarly journals On the decay and blow up of solutions for a quasilinear hyperbolic equations with nonlinear damping and source terms

2015 ◽  
Vol 2015 (1) ◽  
Author(s):  
Erhan Pişkin
Keyword(s):  
Blow Up ◽  
Hyperbolic Equations ◽  
Nonlinear Damping ◽  
Source Terms ◽  
Quasilinear Hyperbolic Equations ◽  
Damping And Source Terms

Asymptotic stability and blow-up for the wave equation with degenerate nonlocal nonlinear damping and source terms

2020 ◽  
pp. 1-12
Author(s):  
Hongwei Zhang ◽  
Donghao Li ◽  
Wenxiu Zhang ◽  
Qingying Hu
Keyword(s):  
Wave Equation ◽  
Asymptotic Stability ◽  
Blow Up ◽  
Nonlinear Damping ◽  
Source Terms ◽  
Damping And Source Terms ◽  
Nonlocal Nonlinear

Global Existence and Blow-Up of Weak Solutions for Nonlinear Wave Equations

2014 ◽  
Vol 635-637 ◽  
pp. 1565-1568
Author(s):  
Yun Zhu Gao ◽  
Wei Guo ◽  
Tian Luan
Keyword(s):  
Global Existence ◽  
Nonlinear Wave ◽  
Weak Solutions ◽  
Wave Equations ◽  
Blow Up ◽  
Nonlinear Damping ◽  
Nonlinear Wave Equations ◽  
Potential Well ◽  
Source Terms ◽  
Damping And Source Terms

In this paper, we discuss the nonlinear wave equations with nonlinear damping and source terms. By using the potential well methods, we get a result for the global existence and blow-up of the solutions.

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