Extinction and decay estimates of solutions for a class of porous medium equations

被引：50

作者：

Liu, Wenjun ^{[1
,2
]}

Wang, Mingxin ^{[1
]}

Wu, Bin ^{[2
]}

机构：

[1] SE Univ, Dept Math, Nanjing 210096, Peoples R China

[2] Nanjing Univ Informat Sci & Technol, Coll Math & Phys, Nanjing 210044, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2007年 / 2007卷 / 1期

关键词：

D O I：

10.1155/2007/87650

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The extinction phenomenon of solutions for the homogeneous Dirichlet boundary value problem of the porous medium equation u(t) =Delta u(m) +lambda vertical bar u vertical bar(p-1) u-beta u, 0< m< 1, is studied. Sufficient conditions about the extinction and decay estimates of solutions are obtained by using L-p-integral model estimate methods and two crucial lemmas on differential inequality. Copyright (C) 2007.

引用

页数：8

共 9 条

[1] LOCAL EXISTENCE AND UNIQUENESS OF SOLUTIONS OF DEGENERATE PARABOLIC EQUATIONS
ANDERSON, JR
[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1991, 16 (01) : 105 - 143
[2] Necessary and sufficient conditions for the unique solvability of a nonlinear reaction-diffusion model
Anderson, JR
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 228 (02) : 483 - 494
[3] The extinction behavior of the solutions for a class of reaction-diffusion equations
Chen, SL
[J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2001, 22 (11) : 1352 - 1356
[4] Chen SL, 1998, J MATH RES EXPOSITIO, V18, P583
[5] Extinction behaviour for fast diffusion equations with absorption
Ferreira, R
Vazquez, JL
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 43 (08) : 943 - 985
[6] A very singular solution for the porous media equation u(t)=Delta(u(m))-u(p) when 0<m<1
Leoni, G
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1996, 132 (02) : 353 - 376
[7] Concise syntheses of arabinogalactans with β-(1→6)-linked galactopyranosyl backbone and α-(1→3)-linked arabinofuranosyl side chains
Li, AX
Kong, FZ
[J]. CHINESE JOURNAL OF CHEMISTRY, 2005, 23 (01) : 7 - 10
[8] LIU W, 2007, INT J MATH MATH SCI
[9] SOURCE-TYPE SOLUTIONS OF THE POROUS-MEDIA EQUATION WITH ABSORPTION - THE FAST DIFFUSION CASE
PELETIER, LA
ZHAO, JN
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1990, 14 (02) : 107 - 121

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