Open Access

Blow up of the Solutions of Nonlinear Wave Equation

Boundary Value Problems20072007:042954

Received: 14 March 2007

Accepted: 26 May 2007

Published: 14 August 2007


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 .


Differential EquationContinuous FunctionPartial Differential EquationOrdinary Differential EquationPositive Constant


Authors’ Affiliations

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


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© Svetlin Georgiev Georgiev 2007

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