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Blow up of the Solutions of Nonlinear Wave Equation

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Abstract

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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Correspondence to Svetlin Georgiev Georgiev.

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Keywords

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