Extinction and Decay Estimates of Solutions for a Class of Porous Medium Equations. (5th November 2007)

• Record Type: Journal Article
• Authors: Liu, Wenjun; Wang, Mingxin; Wu, Bin
• Other Names: Chipot Michel Academic Editor.
• Is Part Of: Journal of inequalities and applications. Volume 2007(2007)
• Publication Date: 2007-11-05
• Subjects: Inequalities (Mathematics) -- Periodicals; 512.97
• DOI: 10.1155/2007/87650
• Languages: English
• ISSNs: 1029-242X

Abstract

Abstract : The extinction phenomenon of solutions for the homogeneous Dirichlet boundary value problem of the porous medium equationu t = Δ u m + λ | u | p − 1 u − β u, 0 < m < 1, is studied. Sufficient conditions about the extinction and decay estimates of solutions are obtained by usingL p -integral model estimate methods and two crucial lemmas on differential inequality.