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Method for symmetrization and estimation of solutions of the Neumann problem for the equation of a porous medium in domains with noncompact boundary for infinitely increasing time

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Abstract

We consider the initial boundary-value Neumann problem for the equation of a porous medium in a domain with noncompact boundary. By using a symmetrization method, we obtain exactL p-estimates, 1≤p≤∞, for solutions as t→∞.

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Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics, Ukrainian Academy of Sciences, Donetsk

    B. V. Bazalii & A. F. Tedeev

Authors
  1. B. V. Bazalii
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  2. A. F. Tedeev
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 2, pp. 147–157, February, 1995.

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Bazalii, B.V., Tedeev, A.F. Method for symmetrization and estimation of solutions of the Neumann problem for the equation of a porous medium in domains with noncompact boundary for infinitely increasing time. Ukr Math J 47, 173–186 (1995). https://doi.org/10.1007/BF01056708

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  • DOI: https://doi.org/10.1007/BF01056708

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