拟线性双曲型方程组具较少控制函数的双侧精确边界能控性  

Exact boundary controllability with less controls acting on two ends for quasilinear hyperbolic systems

作　　者：张祺[1] 

机构地区：[1]复旦大学数学科学学院,上海200433

出　　处：《高校应用数学学报（A辑）》2009年第1期65-74,共10页Applied Mathematics A Journal of Chinese Universities(Ser.A)

摘　　要：研究具有一般非线性边界条件的一阶拟线性双曲型方程组的具有较少控制函数的双侧精确边界能控性.在正负特征数不相等的情况下,以一阶拟线性双曲型方程组混合初边值问题的半整体C^1解理论为基础,采用一个直接的构造方法,使用较少的边界控制函数实现了局部双侧精确边界能控性,并且对精确控制时间给出了最佳估计.This paper deals with the exact controllability for quasilinear hyperbolic systems with general nonlinear boundary conditions. When the number of the positive eigenvalues is not equal to that of the negative ones, by means of a constructive method based on the theory on semiglobal C^1 solutions to the mixed initial-boundary value problem for general quasilinear hyperbolic systems, the exact boundary controllability with less controls acting on two ends is obtained. Besides, a sharp estimate on the control time is given.

关 键 词：拟线性双曲组 混合初边值问题 半整体C^1解 精确边界能控性 

分 类 号：O175.27[理学—数学] O232[理学—基础数学]