Null controllability of a linear KdV equation on an interval with special boundary conditions

被引：6
|
作者：
Guilleron, Jean-Philippe [1 ]
机构：
[1] Univ Paris 06, UMR 7598, Lab Jacques Louis Lions, F-75005 Paris, France
来源：
MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS | 2014年 / 26卷 / 03期
关键词：
Control; Korteweg de-Vries equation; PDE; Carleman estimate; Observability; DE-VRIES EQUATION; DOMAIN;
D O I：
10.1007/s00498-013-0122-6
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we deal with the null controllability of a linear Korteweg-de Vries equation with special boundary conditions. We first study the Cauchy problem and prove the existence and uniqueness of solutions in suitable spaces, and then prove the null controllability of this system by establishing an observability inequality which is proved with the help of a Carleman estimate.
引用
收藏
页码：375 / 401
页数：27
相关论文
共 50 条
  • [41] CONTROLLABILITY FOR THE VIBRATING STRING EQUATION WITH MIXED BOUNDARY CONDITIONS
    Negrescu, Alexandru
    [J]. UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2015, 77 (04): : 157 - 164
  • [42] Controllability for the vibrating string equation with mixed boundary conditions
    Negrescu, Alexandru
    [J]. UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 2015, 77 (04): : 157 - 164
  • [43] Approximate controllability of the wave equation with mixed boundary conditions
    Pestov L.
    Strelnikov D.
    [J]. Journal of Mathematical Sciences, 2019, 239 (1) : 75 - 85
  • [44] On the controllability of the heat equation with nonlinear boundary Fourier conditions
    Doubova, A
    Fernández-Cara, E
    González-Burgos, M
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2004, 196 (02) : 385 - 417
  • [45] BOUNDARY NULL-CONTROLLABILITY OF COUPLED PARABOLIC SYSTEMS WITH ROBIN CONDITIONS
    Bhandari, Kuntal
    Boyer, Franck
    [J]. EVOLUTION EQUATIONS AND CONTROL THEORY, 2021, 10 (01): : 61 - 102
  • [46] Exact Boundary Controllability of Fifth-order KdV Equation Posed on the Periodic Domain
    Yang Shuning
    Zhao Xiangqing
    [J]. JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2022, 35 (02): : 163 - 172
  • [47] Local null controllability of a free-boundary problem for the viscous Burgers equation
    Fernández-Cara E.
    De Sousa I.T.
    [J]. SeMA Journal, 2017, 74 (4) : 411 - 427
  • [48] Initial boundary value problem for the KdV equation on a semiaxis with homogeneous boundary conditions
    Habibullin, IT
    [J]. THEORETICAL AND MATHEMATICAL PHYSICS, 2002, 130 (01) : 25 - 44
  • [49] The KdV equation under periodic boundary conditions and its perturbations
    Guan, Huang
    Kuksin, Sergei
    [J]. NONLINEARITY, 2014, 27 (09) : R61 - R88
  • [50] Exact Null Controllability of a One-Dimensional Wave Equation with a Mixed Boundary
    Cui, Lizhi
    Lu, Jing
    [J]. MATHEMATICS, 2023, 11 (18)
12345