Exact Boundary Controllability of Fifth-order KdV Equation Posed on the Periodic Domain  

作　　者：YANG Shuning ZHAO Xiangqing 

机构地区：[1]Schol of Information and Engineering,Zhejang Ocean University,Zhoushan316022,China [2]Department of Mathmatics,Suqian University,Suqian 223800,China

出　　处：《Journal of Partial Differential Equations》2022年第2期163-172,共10页偏微分方程（英文版）

基　　金：supported by the Zhejiang Provincial Natural Science Foundation of China(No.LY18A010024);National Natural Science Foundation of China(No.12075208).

摘　　要：In this paper,we show by Hilbert Uniqueness Method that the boundary value problem of fifth-order KdV equation{y_(t)-y_(5x)=0,(x,t)∈(0,2π)×(0,T),y(t,2π)-y(t,0)=h_(0)(t),y_(x)(t,2π)-y_(x)(t,0)=h_(1)(t),y_(2x)(t,2π)-y_(2x)(t,0)=h_(2)(t),y_(3x)(t,2π)-y_(3x)(t,0)=h_(3)(t),y_(4x)(t,2π)-y_(4x)(t,0)=h_(4)(t),(with boundary data as control inputs)is exact controllability.

关 键 词：Fifth-order KdV equation Hilbert Uniqueness Method exact controllability 

分 类 号：O175.4[理学—数学]