Blow-up for a parabolic system with nonlocal sources and nonlocal boundary conditions

被引：1

作者：

Zhong, Guangsheng ^{[1
,2
]}

Tian, Lixin ^{[2
,3
]}

机构：

[1] Nantong Univ, Dept Math, Nantong 226007, Peoples R China

[2] Jiangsu Univ, Fac Sci, Nonlinear Sci Res Ctr, Zhenjiang 212013, Peoples R China

[3] Nanjing Normal Univ, Nanjing 210097, Jiangsu, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2015年

基金：

中国国家自然科学基金;

关键词：

global existence; finite time blow-up; nonlocal sources; nonlocal boundary conditions; blow-up rate; POROUS-MEDIUM EQUATION; POSITIVE SOLUTIONS; WEIGHT-FUNCTIONS; HEAT-EQUATION; BEHAVIOR; INFINITY; ROLES;

D O I：

10.1186/s13661-015-0325-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with blow-up properties of solutions to a nonlocal parabolic system with nonlocal boundary conditions. The global existence and finite time blow-up criteria are obtained. Moreover, for some special cases, we establish the precise blow-up rate estimates.

引用

页数：14

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