Journal of Inequalities and Applications
Volume 2007 (2007), Article ID 87650, 8 pages
Extinction and Decay Estimates of Solutions for a Class of Porous Medium Equations
1Department of Mathematics, Southeast University, Nanjing 210096, China
2College of Mathematics and Physics, Nanjing University of Information Science and Technology, Nanjing 210044, China
Received 3 April 2007; Accepted 6 September 2007
Academic Editor: Michel Chipot
Copyright © 2007 Wenjun Liu et al. 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.
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.