Uniform decay and blow-up of solutions for coupled nonlinear Klein-Gordon equations with nonlinear damping terms

Uniform decay and blow-up of solutions for coupled nonlinear Klein-Gordon equations with nonlinear damping terms

In this work, we consider coupled nonlinear Klein–Gordon equations with nonlinear damping terms, in a bounded domain. The decay estimates of the solution are established by using Nakao's inequality. We also prove the blow up of the solution in finite time with negative initial energy. Copyright...

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Veröffentlicht in:Mathematical methods in the applied sciences 2014-11, Vol.37 (18), p.3036-3047
1. Verfasser: Piskin, Erhan
Format: Artikel
Sprache:eng
Schlagworte:
blow up
Damping
Decay
Estimates
Inequalities
Joining
Klein-Gordon equation
Klein-Gordon equations
Mathematical analysis
nonlinear damping and source terms
Nonlinearity
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Zusammenfassung:In this work, we consider coupled nonlinear Klein–Gordon equations with nonlinear damping terms, in a bounded domain. The decay estimates of the solution are established by using Nakao's inequality. We also prove the blow up of the solution in finite time with negative initial energy. Copyright © 2013 John Wiley & Sons, Ltd.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.3042