Open Access

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

Journal of Inequalities and Applications20072007:087650

DOI: 10.1155/2007/87650

Received: 3 April 2007

Accepted: 6 September 2007

Published: 5 November 2007


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.


Authors’ Affiliations

Department of Mathematics, Southeast University
College of Mathematics and Physics, Nanjing University of Information Science and Technology


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© Wenjun Liu et al. 2007

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