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Blow up of the Solutions of Nonlinear Wave Equation

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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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Georgiev, S.G. Blow up of the Solutions of Nonlinear Wave Equation. Bound Value Probl 2007, 042954 (2007). https://doi.org/10.1155/2007/42954

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Keywords

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