数学杂志2012,Vol.32Issue(6):1129-1135,7.
三种群的竞争系统全局解的一致有界性
UNIFORM BOUNDEDNESS OF GLOBAL SOLUTIONS IN A THREE-SPECIES COMPETING SYSTEM
摘要
Abstract
In this paper, we study global solution to a three-species competing system with cross-diffusions dominated by self-diffusions. By using Gagliardo-Nirenberg inequalities, we establish W12 -bound uniform in time, and obtain uniform boundedness of global solutions, which extend related problem of a two-species competing sysyem.关键词
交叉扩散/自身扩散/全局解/一致有界性Key words
cross-diffusion/ self-diffusions/ uniform boundedness/ global solution分类
数理科学引用本文复制引用
张艳红..三种群的竞争系统全局解的一致有界性[J].数学杂志,2012,32(6):1129-1135,7.基金项目
福建省自然科学基金资助(2010J01005) (2010J01005)
福建省教育厅科研项目资助(JA100200). (JA100200)