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.

引用

页码：495 / 507

页数：13

共 18 条

[1]

BREZIS H, 1986, ARCH RATION MECH AN, V95, P185, DOI 10.1007/BF00251357

[2] Extinction behaviour for fast diffusion equations with absorption [J].