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Global existence and finite time blow up for a class of semilinear wave equations on [formula omitted].
- Source :
-
Computers & Mathematics with Applications . Sep2015, Vol. 70 Issue 6, p1345-1356. 12p. - Publication Year :
- 2015
-
Abstract
- In this paper, we consider the initial value problem for a class of semilinear wave equations with damping and source terms. Under certain conditions we establish the global existence of solutions, and the asymptotic behavior of the solutions by introducing an appropriate Lyapunov functions. Moreover, we examine the blow-up in finite time when the initial data is sufficiently large. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 08981221
- Volume :
- 70
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Computers & Mathematics with Applications
- Publication Type :
- Academic Journal
- Accession number :
- 109161540
- Full Text :
- https://doi.org/10.1016/j.camwa.2015.07.021