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Lifespan estimates for solutions of some evolution inequalities

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Abstract

We consider nonlinear evolution partial differential equations and inequalities. For the solutions of the Cauchy problem for such equations and inequalities, we establish conditions for finite time blow-up and derive an estimate for the blow-up time.

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References

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Authors and Affiliations

  1. Università degli Studi di Trieste, Trieste, Italy

    E. Mitidieri & S. I. Pokhozhaev

  2. Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia

    E. Mitidieri & S. I. Pokhozhaev

Authors
  1. E. Mitidieri
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  2. S. I. Pokhozhaev
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Additional information

Original Russian Text © E. Mitidieri, S.I. Pokhozhaev, 2009, published in Differentsial’nye Uravneniya, 2009, Vol. 45, No. 10, pp. 1441–1451.

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Mitidieri, E., Pokhozhaev, S.I. Lifespan estimates for solutions of some evolution inequalities. Diff Equat 45, 1473–1484 (2009). https://doi.org/10.1134/S0012266109100103

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  • DOI: https://doi.org/10.1134/S0012266109100103

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