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.

引用

页码：923 / 928

页数：6

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