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  • Research Article
  • Open Access

Blow up of the Solutions of Nonlinear Wave Equation

Boundary Value Problems20072007:042954

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


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 Equation
  • Continuous Function
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Positive Constant


Authors’ Affiliations

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


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© Svetlin Georgiev Georgiev 2007

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