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Global Existence, Blow-up and Asymptotic Behavior of Solutions for a Class of Coupled Nonlinear Klein-Gordon Equations with Damping Terms.
- Source :
-
Acta Applicandae Mathematicae . Jun2012, Vol. 119 Issue 1, p75-95. 21p. - Publication Year :
- 2012
-
Abstract
- This article studies the Cauchy problem for the coupled nonlinear Klein-Gordon equations with damping terms. By introducing a family of potential wells, we derive the invariant sets and the vacuum isolating of solutions. Furthermore, we show the global existence, finite time blow-up, as well as the asymptotic behavior of solutions. In particular, we establish a sharp criterion for global existence and blow-up of solutions when E(0)< d. Finally, a blow-up result of solutions with E(0)= d is also proved. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01678019
- Volume :
- 119
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Acta Applicandae Mathematicae
- Publication Type :
- Academic Journal
- Accession number :
- 74752383
- Full Text :
- https://doi.org/10.1007/s10440-011-9662-2