Open Access
2014 Global and Blow-Up Solutions for Nonlinear Hyperbolic Equations with Initial-Boundary Conditions
Ülkü Dinlemez, Esra Aktaş
Int. J. Differ. Equ. 2014: 1-5 (2014). DOI: 10.1155/2014/724837

Abstract

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.

Citation

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Ülkü Dinlemez. Esra Aktaş. "Global and Blow-Up Solutions for Nonlinear Hyperbolic Equations with Initial-Boundary Conditions." Int. J. Differ. Equ. 2014 1 - 5, 2014. https://doi.org/10.1155/2014/724837

Information

Received: 24 December 2013; Revised: 7 March 2014; Accepted: 20 March 2014; Published: 2014
First available in Project Euclid: 20 January 2017

zbMATH: 1295.35125
MathSciNet: MR3198337
Digital Object Identifier: 10.1155/2014/724837

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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