Regularity of solutions to a class of cross diffusion systems

被引：3

作者：

Le, D ^{[1
]}

机构：

[1] Univ Texas, Dept Appl Math, San Antonio, TX 78249 USA

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2005年 / 36卷 / 06期

关键词：

cross diffusion systems; Holder regularity;

D O I：

10.1137/S0036141003428354

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Regularity of bounded solutions to a class of strongly coupled parabolic systems is investigated. Conditions on the structure of the systems are found to assure that bounded solutions are Holder continuous. The theory is then applied to the general Shigesada-Kawasaki-Teramoto model in population dynamics.

引用

页码：1929 / 1942

页数：14

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