摘要
该文讨论了一类拟线性抛物系统的全局零能控性和逼近能控性.文中首先给出并证明了相应的线性系统的Carleman不等式,再由Carleman不等式去证明观测不等式,最后利用Kakutani不动点定理证明非线性系统的全局零能控性和逼近能控性.
This work deals with a class of quasilinear systems and gives the global null controllability and approximate controllability.The key is to use an observability inequality for the linearized systems,which is established by a modified Carleman inequality obtained in this text and a fixed point theorem.
出处
《数学物理学报（A辑）》
CSCD
北大核心
2011年第1期154-172,共19页
Acta Mathematica Scientia
基金
国家自然科学基金(60574017)
华中农业大学"薪火"专项(2009XH005)资助
关键词
零能控性
逼近能控性
拟线性系统
Null controllability
Approximate controllability
Quasilinear system
