GLOBAL SOLUTIONS OF THE COOPERATIVE CROSS-DIFFUSION SYSTEMS

被引：0

作者：

Shim, Seong-A ^{[1
]}

机构：

[1] Sungshin Womens Univ, Dept Math, Seoul, South Korea

来源：

JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS | 2015年 / 22卷 / 01期

关键词：

cross-diffusion systems; cooperative dynamics; existence of global solutions; uniform bound;

D O I：

10.7468/jksmeb.2015.22.1.75

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper the existence of global solutions of the parabolic cross diffusion systems with cooperative reactions is obtained under certain conditions. The uniform boundedness of W-1,W-2 norms of the local maximal solution is obtained by using interpolation inequalities and comparison results on differential inequalities.

引用

页码：75 / 90

页数：16

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