Uniqueness of asymptotic profiles for an extinction problem

被引：11
作者：
Ferreira, R
Galaktionov, VA
Vazquez, JL [1 ]
机构：
[1] Univ Autonoma Madrid, Dept Matemat, E-28049 Madrid, Spain
[2] Univ Bath, Dept Math Sci, Bath BA2 7AY, Avon, England
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 50卷 / 04期
关键词：
nonlinear heat propagation; self-similar solutions; uniqueness of elliptic nonlinear equations; extinction behaviour; fast diffusion;
D O I：
10.1016/S0362-546X(01)00756-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The uniqueness of the asymptotic profile for an extinction problem was investigated. The problem was formulated in terms of a class of a nonlinear diffusion-absorption type equation and a condition on the speed of heat propagation. The asymptotic behavior of the solutions of the initial-value problem for the equation was investigated. The convergence of the solutions towards self-similar profiles was also investigated.
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收藏
页码：495 / 507
页数：13
相关论文
共 18 条
[11]   CLASSIFICATION OF SINGULAR SOLUTIONS OF A NONLINEAR HEAT-EQUATION [J].
KAMIN, S ;
PELETIER, LA ;
VAZQUEZ, JL .
DUKE MATHEMATICAL JOURNAL, 1989, 58 (03) :601-615
[12]  
KAMIN S, 1989, ISRAEL J MATH, V58, P129
[13]   A very singular solution for the porous media equation u(t)=Delta(u(m))-u(p) when 0<m<1 [J].
Leoni, G .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1996, 132 (02) :353-376
[14]   SOURCE-TYPE SOLUTIONS OF THE POROUS-MEDIA EQUATION WITH ABSORPTION - THE FAST DIFFUSION CASE [J].
PELETIER, LA ;
ZHAO, JN .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1990, 14 (02) :107-121
[15]   LARGE TIME BEHAVIOR OF SOLUTIONS OF THE POROUS-MEDIA EQUATION WITH ABSORPTION - THE FAST DIFFUSION CASE [J].
PELETIER, LA ;
ZHAO, JN .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1991, 17 (10) :991-1009
[16]  
Perko L., 2013, DIFFER EQUAT DYN SYS
[17]  
SAMARSKII AA, 1987, BLOW PROBLEMS QUASIL
[18]  
VAZQUEZ JL, 1995, P 3 SPAN C APPL MATH, P38
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