On Global Existence of Solutions of Initial Boundary Value Problem for a System of Semilinear Parabolic Equations with Nonlinear Nonlocal Neumann Boundary Conditions

被引：5

作者：

Gladkova, A. L. ^{[1
]}

Nikitin, A. I. ^{[2
]}

机构：

[1] Belarusian State Univ, Minsk 220030, BELARUS

[2] Masherov Vitebsk State Univ, Vitebsk 210038, BELARUS

来源：

DIFFERENTIAL EQUATIONS | 2018年 / 54卷 / 01期

关键词：

BLOW-UP; HEAT-EQUATION; WEIGHT-FUNCTIONS; ABSORPTION; ROLES;

D O I：

10.1134/S0012266118010081

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish conditions for the existence and nonexistence of global solutions of initial boundary value problem for a system of semilinear parabolic equations with nonlinear nonlocal Neumann boundary conditions. We show that these conditions are determined by the behavior of the problem coefficients as t ->infinity.

引用

页码：86 / 105

页数：20

共 50 条

[31] Existence of Solutions to a Nonlocal Boundary Value Problem with Nonlinear Growth
Xiaojie Lin
[J]. Boundary Value Problems, 2011
[32] EXISTENCE AND REGULARITY OF SOLUTIONS OF SEMILINEAR PARABOLIC INITIAL - BOUNDARY-VALUE PROBLEMS
KIELHOFER, H
[J]. MATHEMATISCHE ZEITSCHRIFT, 1975, 142 (02) : 131 - 160
[33] Multiplicative Controllability of Semilinear Parabolic Equations with Neumann Boundary Conditions
Wu, Qingzhe
Lei, Peidong
Wang, Lili
[J]. JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2022, 28 (04) : 1009 - 1022
[34] Multiplicative Controllability of Semilinear Parabolic Equations with Neumann Boundary Conditions
Qingzhe Wu
Peidong Lei
Lili Wang
[J]. Journal of Dynamical and Control Systems, 2022, 28 : 1009 - 1022
[35] INITIAL BOUNDARY VALUE PROBLEM FOR SEMILINEAR HYPERBOLIC EQUATIONS AND PARABOLIC EQUATIONS WITH CRITICAL INITIAL DATA
Xu Runzhang
[J]. QUARTERLY OF APPLIED MATHEMATICS, 2010, 68 (03) : 459 - 468
[36] GLOBAL EXISTENCE AND BLOW-UP OF SOLUTIONS FOR PARABOLIC SYSTEMS WITH NONLINEAR NONLOCAL BOUNDARY CONDITIONS
Sen, Zhou
Yang, Zuodong
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,
[37] The fourier problem with nonlocal boundary conditions for a class of nonlinear parabolic equations
Bokalo N.M.
[J]. Journal of Mathematical Sciences, 1997, 85 (6) : 2260 - 2266
[38] BOUNDARY VALUE PROBLEM SOLVING FOR SEMILINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL AND INTEGRAL BOUNDARY CONDITIONS
Tellab, B.
[J]. TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2022, 12 (03): : 1069 - 1082
[39] GLOBAL EXISTENCE OF INITIAL BOUNDARY VALUE PROBLEM FOR THE FITZHUGHNAGUMO EQUATIONS
郑宋穆
沈玮熙
[J]. Science Bulletin, 1984, (09) : 1155 - 1159
[40] Influence of variable coefficients on global existence of solutions of semilinear heat equations with nonlinear boundary conditions
Gladkov, Alexander
Guedda, Mohammed
[J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2020, (63) : 1 - 11

← 1 2 3 4 5 →