GLOBAL EXISTENCE AND BLOW-UP FOR A SYSTEM OF HEAT-EQUATIONS WITH NONLINEAR BOUNDARY-CONDITIONS

被引：33

作者：

DENG, K

机构：

[1] Department of Mathematics, University of Southwestern Louisiana, Lafayette, Louisiana

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 1995年 / 18卷 / 04期

关键词：

D O I：

10.1002/mma.1670180405

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider non-negative solutions of [GRAPHICS] We prove that if pq less than or equal to 1 every solution remains bounded, while all solutions blow up in a finite time if pq > 1. We also show that if p, q > 1, then blow-up can only occur on the boundary.

引用

页码：307 / 315

页数：9

共 50 条

[41] Global existence and blow-up phenomena for nonlinear divergence form parabolic equations with inhomogeneous Neumann boundary conditions
Li, Fushan
Li, Jinling
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 385 (02) : 1005 - 1014
[42] 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,
[43] Blow-up phenomena for a system of semilinear heat equations with nonlinear boundary flux
Liang, Fei
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (04) : 2189 - 2198
[44] Blow-up phenomena for a system of semilinear parabolic equations with nonlinear boundary conditions
Baghaei, Khadijeh
Hesaaraki, Mahmoud
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (03) : 527 - 536
[45] Blow-Up for a Class of Parabolic Equations with Nonlinear Boundary Conditions
Zhao, Leina
ADVANCES IN NEURAL NETWORKS - ISNN 2011, PT I, 2011, 6675 : 222 - 230
[46] The blow-up rate for a system of heat equations completely coupled in the boundary conditions
Wang, S
Xie, CH
Wang, MX
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 35 (03) : 389 - 398
[47] THE BLOW-UP BEHAVIOR OF THE HEAT-EQUATION WITH NEUMANN BOUNDARY-CONDITIONS
DENG, K
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 188 (02) : 641 - 650
[48] Blow-up solutions and global solutions for nonlinear parabolic equations with mixed boundary conditions
Zhang H.
Journal of Applied Mathematics and Computing, 2010, 32 (2) : 535 - 545
[49] Global and Blow-Up Solutions for Nonlinear Hyperbolic Equations with Initial-Boundary Conditions
Dinlemez, Ulku
Aktas, Esra
INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2014, 2014
[50] GLOBAL EXISTENCE AND BLOW-UP PHENOMENA FOR THE DOUBLY NONLINEAR DIFFUSION EQUATION WITH NONLINEAR NEUMANN BOUNDARY CONDITIONS
Chen, Na
Wang, Peihe
Li, Fushan
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2024, 14 (03): : 1467 - 1484

← 1 2 3 4 5 →