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Backward motion and waiting time phenomena for degenerate parabolic equations with nonlinear gradient absorption

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Abstract

We study energy solutions of a Cauchy problem for the p-Laplace evolution equation with nonlinear gradient absorption and nonnegative compactly supported initial data. We obtain the sufficient local asymptotic conditions on initial data that imply the backward motion and waiting time phenomena.

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Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics of the NAS of Ukraine, R. Luxemburg str. 74, 83114, Donetsk, Ukraine

    Yu. V. Namlyeyeva & R. M. Taranets

  2. School of Mathematical Sciences, University of Nottingham, University Park, Nottingham, NG7 2RD, UK

    R. M. Taranets

Authors
  1. Yu. V. Namlyeyeva
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  2. R. M. Taranets
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Correspondence to Yu. V. Namlyeyeva.

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Namlyeyeva, Y.V., Taranets, R.M. Backward motion and waiting time phenomena for degenerate parabolic equations with nonlinear gradient absorption. manuscripta math. 136, 475–500 (2011). https://doi.org/10.1007/s00229-011-0454-9

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  • DOI: https://doi.org/10.1007/s00229-011-0454-9

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