Null Controllability for the Dissipative Semilinear Heat Equation

被引：0
|
作者：
机构：
[1] Facultatea de Mathematica,
[2] Universitatea ``Al.I.Cuza'',undefined
[3] Iasi,undefined
[4] Romania ,undefined
[5] Department of Mathematics,undefined
[6] University of California,undefined
[7] Berkeley,undefined
[8] CA 94720,undefined
[9] USA tataru@math.berkeley.edu,undefined
来源：
Applied Mathematics & Optimization | 2002年 / 46卷
关键词：
Key words. Null controllability, Heat equation, Nonlinear parabolic equation. AMS Classification. 93B05, 35K05, 35K60.;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Abstract. We consider the exact null controllability problem for the semi- linear heat equation with dissipative nonlinearity in a bounded domain of Rn . The main result of the article asserts that if the nonlinearity is even mildly superlinear, then global null controllability in an arbitrarily short time fails; instead we provide sharp estimates for the controllability time in terms of the size of the initial data.
引用
收藏
页码：97 / 105
页数：8
相关论文
共 50 条
  • [1] Null controllability for the dissipative semilinear heat equation
    Anita, S
    Tataru, D
    [J]. APPLIED MATHEMATICS AND OPTIMIZATION, 2002, 46 (2-3): : 97 - 105
  • [2] Finite dimensional null controllability for the semilinear heat equation
    Zuazua, E
    [J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 1997, 76 (03): : 237 - 264
  • [3] Null Controllability with Constraints on the State for the Semilinear Heat Equation
    Mophou, G. Massengo
    Nakoulima, O.
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2009, 143 (03) : 539 - 565
  • [4] Null Controllability with Constraints on the State for the Semilinear Heat Equation
    G. Massengo Mophou
    O. Nakoulima
    [J]. Journal of Optimization Theory and Applications, 2009, 143 : 539 - 565
  • [5] Local Null-Controllability of a Nonlocal Semilinear Heat Equation
    Hernandez-Santamaria, Victor
    Le Balc'h, Kevin
    [J]. APPLIED MATHEMATICS AND OPTIMIZATION, 2021, 84 (02): : 1435 - 1483
  • [6] Local Null-Controllability of a Nonlocal Semilinear Heat Equation
    Víctor Hernández-Santamaría
    Kévin Le Balc’h
    [J]. Applied Mathematics & Optimization, 2021, 84 : 1435 - 1483
  • [7] NULL CONTROLLABILITY FOR SEMILINEAR HEAT EQUATION WITH DYNAMIC BOUNDARY CONDITIONS
    Khoutaibi, Abdelaziz
    Maniar, Lahcen
    Oukdach, Omar
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2022, 15 (06): : 1525 - 1546
  • [8] Null controllability for the semilinear heat equation in a non-smooth domain
    Ali-Ziane, Tarik
    Ferhoune, Zahia
    Zair, Ouahiba
    [J]. COMPTES RENDUS MATHEMATIQUE, 2015, 353 (03) : 229 - 234
  • [9] Null controllability of the heat equation as singular limit of the exact controllability of dissipative wave equations
    López, A
    Zhang, X
    Zuazua, E
    [J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2000, 79 (08): : 741 - 808
  • [10] Null controllability of the 1-d heat equation as limit of the controllability of dissipative wave equations
    Lopez, A
    Zuazua, E
    [J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1998, 327 (08): : 753 - 758
12345