Exact conditions of blow-up and global existence for the nonlinear wave equation with damping and source terms

2013 ◽  
Vol 76 (1) ◽  
pp. 139-146 ◽  
Author(s):  
Yi Jiang ◽  
Yongle Zhang
Keyword(s):  
Wave Equation ◽  
Global Existence ◽  
Nonlinear Wave ◽  
Nonlinear Wave Equation ◽  
Blow Up ◽  
Source Terms ◽  
Damping And Source Terms

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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