Null controllability with constraints on the state for the linear Korteweg-de Vries equation

被引:0
|
作者
Mo Chen
机构
[1] Jilin University,Institute of Mathematics
来源
Archiv der Mathematik | 2015年 / 104卷
关键词
93B05; 35Q53; Null controllability; Korteweg-de Vries equation;
D O I
暂无
中图分类号
学科分类号
摘要
This paper is concerned with a null controllability problem for the linear Korteweg-de Vries equation with finite number of constraints on the state. First, we prove an adapted Carleman inequality, then we transform the controllability problem with constraints on the state into an equivalent controllability problem with constraint on the control, and solve the equivalent problem by the adapted Carleman inequality.
引用
收藏
页码:189 / 199
页数:10
相关论文
共 50 条
  • [41] GENERALIZED KORTEWEG-DE VRIES EQUATION
    TSUTSUMI, M
    MUKASA, T
    IINO, R
    [J]. PROCEEDINGS OF THE JAPAN ACADEMY, 1970, 46 (09): : 921 - &
  • [42] RAPID EXPONENTIAL STABILIZATION FOR A LINEAR KORTEWEG-DE VRIES EQUATION
    Cerpa, Eduardo
    Crepeau, Emmanuelle
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2009, 11 (03): : 655 - 668
  • [43] The Korteweg-de Vries equation on an interval
    Himonas, A. Alexandrou
    Mantzavinos, Dionyssios
    Yan, Fangchi
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2019, 60 (05)
  • [44] KORTEWEG-DE VRIES EQUATION AND NON-LINEAR WAVES
    BAMPI, F
    MORRO, A
    [J]. LETTERE AL NUOVO CIMENTO, 1979, 26 (02): : 61 - 63
  • [45] BOUNDARY CONTROLLABILITY OF THE KORTEWEG-DE VRIES EQUATION ON A TREE-SHAPED NETWORK
    Cerpa, Eduardo
    Crepeau, Emmanuelle
    Valein, Julie
    [J]. EVOLUTION EQUATIONS AND CONTROL THEORY, 2020, 9 (03): : 673 - 692
  • [46] Boundary controllability for the Korteweg-de Vries-Burgers equation on a finite domain
    Li, Jie
    [J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2024,
  • [47] On the boundary controllability of the Korteweg-de Vries equation on a star-shaped network
    Cerpa, Eduardo
    Crepeau, Emmanuelle
    Moreno, Claudia
    [J]. IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2020, 37 (01) : 226 - 240
  • [48] Controllability of the Korteweg-de Vries equation from the right Dirichlet boundary condition
    Glass, O.
    Guerrero, S.
    [J]. SYSTEMS & CONTROL LETTERS, 2010, 59 (07) : 390 - 395
  • [49] Boundary controllability for the nonlinear Korteweg-de Vries equation on any critical domain
    Cerpa, Eduardo
    Crepeau, Emmanuelle
    [J]. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2009, 26 (02): : 457 - 475
  • [50] Convergence of the Rosenau-Korteweg-de Vries Equation to the Korteweg-de Vries One
    Coclite, Giuseppe Maria
    di Ruvo, Lorenzo
    [J]. CONTEMPORARY MATHEMATICS, 2020, 1 (05): : 365 - 392