一类边界退化耦合抛物方程组的近似能控性  

Approximate Controllability of a Class of Coupled Parabolic Equations with Boundary Degeneracy

作　　者：刘亚新 杜润梅 LIU Yaxin;DU Runmei(School of Mathematics and Statistics,Changchun University of Technology,Changchun 130012,China)

机构地区：[1]长春工业大学数学与统计学院,长春130012

出　　处：《吉林大学学报（理学版）》2020年第6期1378-1381,共4页Journal of Jilin University:Science Edition

基　　金：吉林省教育厅“十三五”科学技术研究项目(批准号:JJKH20200643KJ;JJKH20200679KJ)。

摘　　要：用共轭方程组的唯一延拓性讨论边界退化的耦合抛物方程组,给出该问题的近似能控性.结果表明:对任意的目标函数均存在一个控制函数,使该问题的解在有限时间内可充分接近目标函数.By using the unique continuation of conjugate equations,we discussed the coupled parabolic equations with boundary degeneracy,and gave approximate controllability of the problem.The result shows that for any objective function,there exists a control function such that the solution of the problem can be sufficiently close to the objective function in a finite time.

关 键 词：退化抛物方程组 近似能控性 耦合方程组 

分 类 号：O175.26[理学—数学]