On the existence of global solutions of a system of semilinear parabolic equations with nonlinear nonlocal boundary conditions

被引：6

作者：

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

Nikitin, A. I. ^{[1
]}

机构：

[1] Belarusian State Univ, Minsk 220050, BELARUS

来源：

DIFFERENTIAL EQUATIONS | 2016年 / 52卷 / 04期

关键词：

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

D O I：

10.1134/S0012266116040078

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 an initial-boundary value problem for a system of semilinear parabolic equations with nonlinear nonlocal boundary conditions. The results depend on the behavior of variable coefficients as t ->alpha.

引用

页码：467 / 482

页数：16

共 50 条

[1] On the existence of global solutions of a system of semilinear parabolic equations with nonlinear nonlocal boundary conditions
A. L. Gladkov
A. I. Nikitin
[J]. Differential Equations, 2016, 52 : 467 - 482
[2] On Global Existence of Solutions of Initial Boundary Value Problem for a System of Semilinear Parabolic Equations with Nonlinear Nonlocal Neumann Boundary Conditions
A. L. Gladkov
A. I. Nikitin
[J]. Differential Equations, 2018, 54 : 86 - 105
[3] On Global Existence of Solutions of Initial Boundary Value Problem for a System of Semilinear Parabolic Equations with Nonlinear Nonlocal Neumann Boundary Conditions
Gladkova, A. L.
Nikitin, A. I.
[J]. DIFFERENTIAL EQUATIONS, 2018, 54 (01) : 86 - 105
[4] Global existence and decreasing property of boundary values of solutions to parabolic equations with nonlocal boundary conditions
Seo, S
[J]. PACIFIC JOURNAL OF MATHEMATICS, 2000, 193 (01) : 219 - 226
[5] EXISTENCE OF SOLUTIONS FOR QUASILINEAR PARABOLIC EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS
Chen, Baili
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2011,
[6] EXISTENCE AND UNIQUENESS OF SOLUTIONS TO SEMILINEAR NONLOCAL PARABOLIC EQUATIONS
JACKSON, D
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1993, 172 (01) : 256 - 265
[7] EXISTENCE OF SOLUTIONS OF SEMILINEAR PARABOLIC EQUATIONS WITH HOLDER NONLINEAR BOUNDARY DATA
TODOROVA, G
CHRISTOV, K
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1991, 17 (02) : 105 - 113
[8] EXISTENCE OF SOLUTIONS OF SEMILINEAR PARABOLIC EQUATIONS WITH HOLDER NONLINEAR BOUNDARY DATA
TODOROVA, G
CHRISTOV, K
[J]. DOKLADI NA BOLGARSKATA AKADEMIYA NA NAUKITE, 1990, 43 (09): : 21 - 24
[9] 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,
[10] 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 →