摘要
本文研究了一类非线性chemotaxis系统的能控性问题.利用这类线性化结合不动点的方法,获得了非线性系统的局部零能控性结果,推广了非线性抛物-椭圆型方程能控性的结果.
This work concerns the controllability of a nonlinear chemotaxis system. By the combination of linearization and the Kakutani＇s fixed point theorem, we prove the local controllability of the nonlinear parabolic-elliptic system. This approach is appropriate for the proof of controllability of the chemotaxis system and it is applicable for other types of parabolic-elliptic systems.
出处
《数学杂志》
CSCD
北大核心
2014年第4期797-803,共7页
Journal of Mathematics
基金
国家自然科学基金资助(11201358)
中央高校基本科研业务费专项资金资助(2012-Ia-033
2013-Ia-020)
