Global and Blow-Up Solutions for Nonlinear Hyperbolic Equations with Initial-Boundary Conditions

We consider an initial-boundary value problem to a nonlinear string equations with linear damping term. It is proved that under suitable conditions the solution is global in time and the solution with a negative initial energy blows up in finite time.

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Bibliographic Details
Published in:International Journal of Differential Equations 2014-01, Vol.2014 (2014), p.190-194
Main Authors: Dinlemez, Uelkue, Aktas, Esra
Format: Article
Language:English
Subjects:
Boundary conditions
Boundary value problems
Differential equations
Energy of solution
Inequality
Initial value problems
Linear damping
Mathematical analysis
Nonlinearity
R&D
Research & development
Strings
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Description
Summary:We consider an initial-boundary value problem to a nonlinear string equations with linear damping term. It is proved that under suitable conditions the solution is global in time and the solution with a negative initial energy blows up in finite time.
ISSN:1687-9643
1687-9651
DOI:10.1155/2014/724837