Blow up of positive initial-energy solutions for coupled nonlinear wave equations with degenerate damping and source terms

被引:0
作者
Erhan Pişkin
机构
[1] Dicle University,Department of Mathematics
来源
Boundary Value Problems | / 2015卷
关键词
blow up; coupled wave equations; degenerate damping; 35B44; 35L05;
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摘要
In this work, we consider coupled nonlinear wave equations with degenerate damping and source terms. We will show the blow up of solutions in finite time with positive initial energy. This improves earlier results in the literature.
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[1]  
Rammaha MA(2010)Global existence and blow up of solutions to systems of nonlinear wave equations with degenerate damping and source terms Nonlinear Anal. 72 2658-2683
[2]  
Sakuntasathien S(2006)Systems of nonlinear wave equations with damping and source terms Differ. Integral Equ. 19 1235-1270
[3]  
Agre K(2009)On the existence, uniform decay rates and blow up of solutions to systems of nonlinear wave equations with damping and source terms Discrete Contin. Dyn. Syst., Ser. S 2 583-608
[4]  
Rammaha MA(2010)Global nonexistence of positive initial-energy solutions of a system of nonlinear wave equations with damping and source terms Differ. Integral Equ. 23 79-92
[5]  
Alves CO(2012)Global existence and decay of solutions of a nonlinear system of wave equations Appl. Anal. 91 475-489
[6]  
Cavalcanti MM(2010)Existence and nonexistence of a global solution for coupled nonlinear wave equations with damping and source Nonlinear Anal. 72 3969-3975
[7]  
Domingos Cavalcanti VN(2011)Global nonexistence of positive initial-energy solutions for coupled nonlinear wave equations with damping and source terms Abstr. Appl. Anal. 2011 273-303
[8]  
Rammaha MA(1975)Saddle points and instability of nonlinear hyperbolic equations Isr. J. Math. 22 155-182
[9]  
Toundykov D(1999)Global nonexistence theorems for a class of evolution equations with dissipation Arch. Ration. Mech. Anal. 149 633-651
[10]  
Houari BS(2013)Global existence, decay and blow up solutions for coupled nonlinear wave equations with damping and source terms Turk. J. Math. 37 277-287