Degenerate Kirchhoff-type wave problems involving the fractional Laplacian with nonlinear damping and source terms

2019 ◽  
Vol 19 (3) ◽  
pp. 615-643 ◽  
Author(s):  
Ning Pan ◽  
Patrizia Pucci ◽  
Runzhang Xu ◽  
Binlin Zhang
Keyword(s):  
Fractional Laplacian ◽  
Nonlinear Damping ◽  
Source Terms ◽  
Kirchhoff Type ◽  
Type Wave ◽  
Damping And Source Terms ◽  
Wave Problems

Global Existence and Asymptotic Behavior of Solutions for Nonlinear Wave Equations

2014 ◽  
Vol 490-491 ◽  
pp. 327-330
Author(s):  
Ji Bing Zhang ◽  
Yun Zhu Gao
Keyword(s):  
Asymptotic Behavior ◽  
Global Existence ◽  
Nonlinear Wave ◽  
Wave Equations ◽  
Nonlinear Damping ◽  
Nonlinear Wave Equations ◽  
Asymptotic Behavior Of Solutions ◽  
Potential Well ◽  
Source Terms ◽  
Damping And Source Terms

In this paper, we concern with the nonlinear wave equations with nonlinear damping and source terms. By using the potential well method, we obtain a result for the global existence and asymptotic behavior of the solutions.

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