PROPERTIES OF POSITIVE SOLUTIONS FOR A NONLOCAL NONLINEAR DIFFUSION EQUATION WITH NONLOCAL NONLINEAR BOUNDARY CONDITION

被引：5

作者：

Li, Yuhuan ^{[1
]}

Mi, Yongsheng ^{[2
,3
]}

Mu, Chunlai ^{[2
]}

机构：

[1] Sichuan Normal Univ, Dept Math, Chengdu 610066, Peoples R China

[2] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China

[3] Yangtze Normal Univ, Coll Math & Comp Sci, Fuling 408100, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2014年 / 34卷 / 03期

关键词：

Nonlocal boundary condition; blow-up; blow-up rate; Porous medium equation; DEGENERATE PARABOLIC-SYSTEM; BLOW-UP; GLOBAL EXISTENCE; DECREASING PROPERTY; ASYMPTOTIC-BEHAVIOR; HEAT-EQUATION; EXPONENTS;

D O I：

10.1016/S0252-9602(14)60046-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article deals with the global existence and blow-up of positive solution of a nonlinear diffusion equation with nonlocal source and nonlocal nonlinear boundary condition. We investigate the influence of the reaction terms, the weight functions and the nonlinear terms in the boundary conditions on global existence and blow up for this equation. Moreover, we establish blow-up rate estimates under some appropriate hypotheses.

引用

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页码：748 / 758

页数：11

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