具有非局部项的热方程的能控性  

CONTROLLABILITY OF THE HEAT EQUATION WITH NONLOCAL TERM

作　　者：周秀香 ZHOU Xiu-xiang(School of Mathematics and Statistics,Lingnan Normal University,Zhanjiang 524048,Chin)

机构地区：[1]岭南师范学院数学与统计学院,广东湛江524048

出　　处：《数学杂志》2018年第4期696-700,共5页Journal of Mathematics

基　　金：岭南师范学院校级自然科学专项项目基金资助(ZL1612);广东省青年创新人才类项目基金资助(2015KQNCX090);国家自然科学基金项目基金资助(11601213)

摘　　要：本文研究了具有非局部项的热方程的能控性问题.利用对偶原理和反证法,获得当系统施加双线性控制时,具有非局部项的热方程不是零能控的.推广了受控系统不能边界零能控的结果.In this paper, we study the controllability of the heat equation with local term.By using duality principle and reduction to absurdity, we show that the heat equation with local term is not null controllable by means of bilinear control, which extends the corresponding result of this controlled system with boundary control.

关 键 词：非局部项 热方程 零能控性 双线性控制 

分 类 号：O231.4[理学—运筹学与控制论]