Blow-up of solutions for nonlinear parabolic equation with nonlocal source and nonlocal boundary condition

被引：13

作者：

Cui, Zhoujin ^{[1
]}

Yang, Zuodong ^{[2
]}

Zhang, Rui ^{[3
]}

机构：

[1] Jiangsu Maritime Inst, Nanjing 211170, Jiangsu, Peoples R China

[2] Nanjing Normal Univ, Sch Math Sci, Inst Math, Nanjing 210023, Jiangsu, Peoples R China

[3] Jinling Inst Technol, Dept Basic Educ, Nanjing 211169, Jiangsu, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 224卷

基金：

中国国家自然科学基金;

关键词：

Nonlinear parabolic equation; Nonlocal reaction source; Nonlocal boundary condition; Global existence; Finite time blow up; REACTION-DIFFUSION EQUATIONS; POROUS-MEDIUM EQUATION; HEAT-EQUATION; GLOBAL EXISTENCE; MEDIUM SYSTEM; BEHAVIOR; THERMOELASTICITY; UNIQUENESS; PROPERTY;

D O I：

10.1016/j.amc.2013.08.044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to a nonlinear parabolic equation subject to nonlocal boundary condition and with nonlocal reaction source. Some criteria on this problem which determine whether the solutions blow up in a finite time or exist globally are given. Moreover, the blow up rate estimates are also obtained. (C) 2013 Published by Elsevier Inc.

引用

页码：1 / 8

页数：8

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