【摘要】 本文研究了以自身扩散为主交叉扩散并存的三种群的竞争系统全局解的问题.利用Gagliardo-Nirenberg不等式进行能量估计,获得了系统全局解W21-范数有界,从而得到其一致有界性,推广了两种群的竞争系统全局解的相关问题.更多还原

【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 W21-bound uniform in time,and obtain uniform boundedness of global solutions,which extend related problem of a two-species competing sysyem.更多还原