Blow-up properties of solutions to parabolic systems coupled in equations and boundary conditions

被引：22

作者：

Wang, MX ^{[1
]}

机构：

[1] Southeast Univ, Dept Math, Nanjing 210018, Peoples R China

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2003年 / 67卷

关键词：

D O I：

10.1112/S0024610702003903

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper deals with the estimates of the blow-up rate and the blow-up set of positive solutions to semilinear parabolic systems coupled in the equations and boundary conditions. The explicit upper and lower bounds of the blow-up rate are obtained. Moreover, it is proved that the blow-up set contains a single point x = 1 under the proper conditions on the initial data.

引用

页码：180 / 194

页数：15

共 50 条

[1] Blow-up Solutions of A Parabolic System Coupled in Both Equations and Boundary Conditions
Rasheed, Maan A.
[J]. BAGHDAD SCIENCE JOURNAL, 2021, 18 (02) : 315 - 321
[2] Blow-up behaviors for semilinear parabolic systems coupled in equations and boundary conditions
Li, HL
Wang, MX
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 304 (01) : 96 - 114
[3] Blow-Up of Solutions of Coupled Parabolic Systems and Hyperbolic Equations
Kalantarova, J., V
Kalantarov, V. K.
[J]. MATHEMATICAL NOTES, 2022, 112 (3-4) : 406 - 411
[4] Blow-Up of Solutions of Coupled Parabolic Systems and Hyperbolic Equations
J. V. Kalantarova
V. K. Kalantarov
[J]. Mathematical Notes, 2022, 112 : 406 - 411
[5] Blow-up analysis of solutions for weakly coupled degenerate parabolic systems with nonlinear boundary conditions
Ding, Juntang
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021, 61
[6] Blow-up analysis of solutions for weakly coupled degenerate parabolic systems with nonlinear boundary conditions
Ding, Juntang
[J]. Nonlinear Analysis: Real World Applications, 2021, 61
[7] Blow-up solutions and global solutions for nonlinear parabolic equations with mixed boundary conditions
Zhang H.
[J]. Journal of Applied Mathematics and Computing, 2010, 32 (2) : 535 - 545
[8] Blow-up solutions for a class of nonlinear parabolic equations with Dirichlet boundary conditions
Ding, JT
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 52 (06) : 1645 - 1654
[9] Blow-up and global solutions for quasilinear parabolic equations with Neumann boundary conditions
Gao, Xuyan
Ding, Juntang
Guo, Bao-Zhu
[J]. APPLICABLE ANALYSIS, 2009, 88 (02) : 183 - 191
[10] Global and blow-up solutions for nonlinear parabolic equations with Robin boundary conditions
Ding, Juntang
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2013, 65 (11) : 1808 - 1822

← 1 2 3 4 5 →