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.

引用

页码：1 / 8

页数：8

共 50 条

[41] Blow-Up Phenomena for a Class of Parabolic or Pseudo-parabolic Equation with Nonlocal Source
Liu, Gongwei
Zhang, Hongwei
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2021, 18 (03)
[42] Blow-up for degenerate parabolic equations with nonlocal source
Chen, YP
Liu, QL
Xie, CH
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 132 (01) : 135 - 145
[43] Blow-up phenomena for the nonlinear nonlocal porous medium equation under Robin boundary condition
Liu, Yan
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2013, 66 (10) : 2092 - 2095
[44] Blow-up phenomena for a quasilinear parabolic equation with inner source and nonlinear boundary condition
Yang, Rui
Fang, Zhong Bo
Yi, Su-Cheol
JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2016, 19 (04) : 601 - 616
[45] Blow-up of Solutions to Porous Medium Equations with a Nonlocal Boundary Condition and a Moving Localized Source
Sun Peng
Communications in Mathematical Research, 2012, 28 (03) : 243 - 251
[46] Global existence and blow-up of solutions to a nonlocal parabolic equation with singular potential
Feng, Min
Zhou, Jun
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 464 (02) : 1213 - 1242
[47] Global Existence and Blow-up Solutions for a Parabolic Equation with Critical Nonlocal Interactions
Zhang, Jian
Radulescu, Vicentiu D.
Yang, Minbo
Zhou, Jiazheng
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2025, 37 (01) : 687 - 725
[48] Blow-up time for a parabolic problem with a nonlinear source of local and nonlocal features
Chan, CY
Tian, HY
NEURAL, PARALLEL, AND SCIENTIFIC COMPUTATIONS, VOL 2, PROCEEDINGS, 2002, : 215 - 220
[49] Uniform blow-up rate for parabolic equations with a weighted nonlocal nonlinear source
Jiang, Liangjun
Xu, Yongping
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 365 (01) : 50 - 59
[50] Global existence and blow-up properties of solutions for porous medium equation with nonlinear memory and weighted nonlocal boundary condition
Zhong Bo Fang
Jianyun Zhang
Zeitschrift für angewandte Mathematik und Physik, 2015, 66 : 67 - 81

← 1 2 3 4 5 →