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

被引：12
|
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.
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页码：1 / 8
页数：8
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