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Open Access Research Article

Blow up of the Solutions of Nonlinear Wave Equation

Svetlin Georgiev Georgiev

Author Affiliations

Department of Differential Equations, University of Sofia, Sofia 1164, Bulgaria

Boundary Value Problems 2007, 2007:042954  doi:10.1155/2007/42954


The electronic version of this article is the complete one and can be found online at: http://www.boundaryvalueproblems.com/content/2007/1/042954


Received:14 March 2007
Accepted:26 May 2007
Published:14 August 2007

© 2007 Georgiev

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

We construct for every fixed the metric , where , , , , are continuous functions, , for which we consider the Cauchy problem , where , ; , , where , , , , , , and are positive constants. When , we prove that the above Cauchy problem has a nontrivial solution in the form for which . When , we prove that the above Cauchy problem has a nontrivial solution in the form for which .

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