Open Access

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

Journal of Inequalities and Applications20072007:087650

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

Received: 3 April 2007

Accepted: 6 September 2007

Published: 5 November 2007

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’ Affiliations

(1)
Department of Mathematics, Southeast University
(2)
College of Mathematics and Physics, Nanjing University of Information Science and Technology

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Copyright

© Wenjun Liu et al. 2007

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.