一类半线性退化抛物方程在边界控制函数作用下的近似能控性  

Approximate Controllability of a Class of Semilinear DegenerateParabolic Equations with Boundary Control Functions

作　　者：解春雷 杜润梅 XIE Chunlei;DU Runmei(School of Mathematics and Statistic,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）》2021年第3期563-567,共5页Journal of Jilin University:Science Edition

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

摘　　要：用Kakutani不动点定理证明一类一维的半线性退化抛物方程在边界控制函数作用下的近似能控性,其中该方程的控制函数作用在退化点x=0处,边界条件为极限意义下的第二类边界条件,在非退化点x=1处边界条件为齐次Dirichlet条件.We proved the approximate controllability of a class of one-dimensional semilinear degenerate parabolic equations with boundary control functions by using the Kakutani fixed point theorem.The boundary condition of the problem at the degenerate point x=0 to be controlled is the second boundary condition in the sense of limit,and the boundary condition is the homogeneous Dirichlet condition at the non degenerate point x=1.

关 键 词：退化抛物方程 近似可控性 半线性方程 

分 类 号：O175.26[理学—数学]