The heat and Schrodinger equations: Boundary control with one shot

被引:0
|
作者
Littman, Walter [1 ]
Taylor, Stephelz [1 ]
机构
[1] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA
来源
关键词
null boundary control; Ovcyannikov theorem; Schrodinger equation; heat equation;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We discuss the null boundary controllability of the heat and Schrodinger equations with a potential. The unified approach applies not just to both of these PDEs, but also to a one-parameter family of PDEs that they belong to.
引用
收藏
页码:293 / 305
页数:13
相关论文
共 50 条
  • [1] Stabilization of Series Heat Equations with One Boundary Control
    Lina Pan
    Jun-Min Wang
    Journal of Dynamical and Control Systems, 2023, 29 : 969 - 987
  • [2] Stabilization of Series Heat Equations with One Boundary Control
    Pan, Lina
    Wang, Jun-Min
    JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2023, 29 (03) : 969 - 987
  • [3] Stabilization of Coupled Schrodinger and Heat Equations with Boundary Coupling
    Wang Jun-Min
    Ren Beibei
    Krstic, Miroslav
    2011 30TH CHINESE CONTROL CONFERENCE (CCC), 2011, : 986 - 991
  • [4] Absorbing boundary conditions for one-dimensional nonlinear Schrodinger equations
    Szeftel, Jeremie
    NUMERISCHE MATHEMATIK, 2006, 104 (01) : 103 - 127
  • [5] Almost exact boundary condition for one-dimensional Schrodinger equations
    Pang, Gang
    Bian, Lei
    Tang, Shaoqiang
    PHYSICAL REVIEW E, 2012, 86 (06):
  • [6] Nonconservative Schrodinger equations with unobserved Neumann BC: Global uniqueness and observability in one shot
    Lasiecka, I
    Triggiani, R
    Zhang, X
    ANALYSIS AND OPTIMIZATION OF DIFFERENTIAL SYSTEMS, 2003, 121 : 235 - 246
  • [7] Boundary control of a hyperbolic system of heat equations
    Zhukova, O. G.
    DIFFERENTIAL EQUATIONS, 2008, 44 (01) : 85 - 91
  • [8] Boundary control of a hyperbolic system of heat equations
    O. G. Zhukova
    Differential Equations, 2008, 44 : 85 - 91
  • [9] One-Shot Multigrid for the Optimal Neumann Boundary Control of Time-Periodic Partial Differential Equations
    Abbeloos, Dirk
    Diehl, Moritz
    Vandewalle, Stefan
    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2, 2009, 1168 : 329 - +
  • [10] Adaptive Boundary Control for Heat Equations with Uncertain Control Coefficient and Boundary Disturbance
    Li Jian
    Liu Yungang
    2011 30TH CHINESE CONTROL CONFERENCE (CCC), 2011, : 1003 - 1008