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A New Contraction Family for Porous Medium and Fast Diffusion Equations

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Abstract

In this paper, we present a surprising two-dimensional contraction family for porous medium and fast diffusion equations. This approach provides new a priori estimates on the solutions, even for the standard heat equation.

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Authors and Affiliations

  1. LaMA-Liban, Lebanese University, P.O. Box 37, Tripoli, Lebanon

    G. Chmaycem & M. Jazar

  2. CERMICS, Ecole des Ponts ParisTech, 6 et 8 avenue Blaise Pascal, Cité Descartes Champs-sur-Marne, 77455, Marne-la-Vallée Cedex 2, France

    R. Monneau

Authors
  1. G. Chmaycem
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  2. M. Jazar
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  3. R. Monneau
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Corresponding author

Correspondence to M. Jazar.

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Communicated by P.-L. Lions

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Chmaycem, G., Jazar, M. & Monneau, R. A New Contraction Family for Porous Medium and Fast Diffusion Equations. Arch Rational Mech Anal 221, 805–815 (2016). https://doi.org/10.1007/s00205-016-0986-y

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  • DOI: https://doi.org/10.1007/s00205-016-0986-y

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