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

共 50 条

[21] GLOBAL EXISTENCE AND BLOW-UP OF SOLUTIONS FOR PARABOLIC SYSTEMS WITH NONLINEAR NONLOCAL BOUNDARY CONDITIONS
Sen, Zhou
Yang, Zuodong
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,
[22] EXPLICIT ESTIMATES FOR BLOW-UP SOLUTIONS TO PARABOLIC SYSTEMS UNDER NONLOCAL BOUNDARY CONDITIONS
Marras, Monica
Piro, Stella Vernier
COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, 2014, 67 (04): : 459 - 466
[23] Blow-up for a localized singular parabolic equation with weighted nonlocal nonlinear boundary conditions
Chen, Youpeng
Zheng, Baozhu
ANNALES POLONICI MATHEMATICI, 2015, 114 (02) : 179 - 196
[24] BLOW-UP RATE FOR PARABOLIC PROBLEMS WITH NONLOCAL SOURCE AND BOUNDARY FLUX
Rougirel, Arnaud
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2003,
[25] Blow-up and global existence for a nonlocal degenerate parabolic system
Deng, WB
Li, YX
Xie, CH
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 277 (01) : 199 - 217
[26] Blow-up rate and profile for a degenerate parabolic system coupled via nonlocal sources
Zheng, Sining
Wang, Lidong
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2006, 52 (10-11) : 1387 - 1402
[27] Blow-up for a degenerate and singular parabolic equation with nonlocal boundary condition
Liu, Dengming
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (01): : 208 - 218
[28] A Quasilinear Parabolic System with Nonlocal Sources and Weighted Nonlocal Boundary Conditions
Cheng Yuan QU Rui Hong JI Si Ning ZHENG School of Mathematical Science Dalian University of Technology Liaoning P R China Geomathematics Key Laboratory of Sichuan Province Chengdu University of Technology Sichuan P R China
数学研究与评论, 2011, 31 (05) : 761 - 769
[29] A Quasilinear Parabolic System with Nonlocal Sources and Weighted Nonlocal Boundary Conditions
Cheng Yuan QU1
2. Geomathematics Key Laboratory of Sichuan Province
Journal of Mathematical Research with Applications, 2011, (05) : 761 - 769
[30] Blow-Up Profile of Solutions in Parabolic Equations with Nonlocal Dirichlet Conditions
Liu, Bingchen
Zhang, Changcheng
Wei, Yu
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2020, 46 (05) : 1437 - 1453

← 1 2 3 4 5 →