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On Blow-Up of Solutions of Some Systems of Quasilinear Parabolic Inequalities

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Abstract

We study systems of parabolic inequalities (including singular and degenerate ones), which contain squares of first derivatives of the unknown function with respect to spatial variables. We establish conditions that guarantee nonexistence of their global solutions.

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Authors and Affiliations

  1. Moscow, Russia

    A. Muravnik

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  1. A. Muravnik
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Correspondence to A. Muravnik.

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Translated from Sovremennaya Matematika. Fundamental’nye Napravleniya (Contemporary Mathematics. Fundamental Directions), Vol. 48, Proceedings of the Sixth International Conference on Differential and Functional Differential Equations and International Workshop “Spatio-Temporal Dynamical Systems” (Moscow, Russia, 14–21 August, 2011). Part 4, 2013.

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Muravnik, A. On Blow-Up of Solutions of Some Systems of Quasilinear Parabolic Inequalities. J Math Sci 202, 859–868 (2014). https://doi.org/10.1007/s10958-014-2082-x

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  • DOI: https://doi.org/10.1007/s10958-014-2082-x

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