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Extinction and Decay Estimates of Solutions for a Class of Porous Medium Equations

Journal of Inequalities and Applications volume 2007, Article number: 087650 (2007) Cite this article

Abstract

The extinction phenomenon of solutions for the homogeneous Dirichlet boundary value problem of the porous medium equation, is studied. Sufficient conditions about the extinction and decay estimates of solutions are obtained by using-integral model estimate methods and two crucial lemmas on differential inequality.

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Authors and Affiliations

  1. Department of Mathematics, Southeast University, Nanjing, 210096, China

    Wenjun Liu & Mingxin Wang

  2. College of Mathematics and Physics, Nanjing University of Information Science and Technology, Nanjing, 210044, China

    Wenjun Liu & Bin Wu

Authors
  1. Wenjun Liu
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  2. Mingxin Wang
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  3. Bin Wu
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Correspondence to Wenjun Liu.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Liu, W., Wang, M. & Wu, B. Extinction and Decay Estimates of Solutions for a Class of Porous Medium Equations. J Inequal Appl 2007, 087650 (2007). https://doi.org/10.1155/2007/87650

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  • DOI: https://doi.org/10.1155/2007/87650

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