Global existence and blow-up of solutions for parabolic systems involving cross-diffusions and nonlinear boundary conditions

被引：2
|
作者：
Yang, XH [1 ]
Li, FC
Xie, CH
机构：
[1] Nanjing Univ Aeronaut & Astronaut, Coll Sci, Nanjing 210016, Peoples R China
[2] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2005年 / 21卷 / 04期
关键词：
nonlinear parabolic system; cross-diffusion; nonlinear boundary condition; global existence; blow-up;
D O I：
10.1007/s10114-004-0439-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the positive solutions of strongly coupled nonlinear parabolic systems with nonlinear boundary conditions: [GRAPHICS] Under appropriate hypotheses on the functions a, b, g, h, d and f, we obtain that the solutions may exist globally or blow up in finite time by utilizing upper and lower solution techniques.
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页码：923 / 928
页数：6
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