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

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