摘要
作者主要研究了一维耦合线性系统在波部分的边界的零能控性问题,证明了当时间T足够大时该系统是零能控的.该证明主要包括了波部分的逐点能量估计和热部分的Carleman估计.
In this paper the author studies the null controllability problem related to a 1-d linear coupled system, and analyzes the problem of null controllability when the control acts on the free boundary x =1, i.e. the boundary of interval where the linear wave equation holds. It is proved that the system is null controllability when the time T is large enough. The proof combines sidewise energy estimates for the wave component and Carleman estimates for the heat component.
出处
《四川大学学报（自然科学版）》
CAS
CSCD
北大核心
2011年第1期23-26,共4页
Journal of Sichuan University(Natural Science Edition)
