Carleman Estimates and Controllability of Linear Stochastic Heat Equations

被引：0
|
作者：
机构：
[1] Facultatea de Matematică,
[2] Universitatea ``Alexandru Ioan Cuza'',undefined
[3] 6600 Iaşi,undefined
[4] Romania barbu@uaic.ro,undefined
[5] rascanu@uaic.ro ,undefined
[6] Dipartimento di Matematica,undefined
[7] Università di Parma,undefined
[8] via D'Azeglio 85,undefined
[9] 43100 Parma,undefined
[10] Italia gianmario.tessitore@unipr.it,undefined
来源：
Applied Mathematics & Optimization | 2003年 / 47卷
关键词：
Key words. Stochastic PDEs, Controllability, Backward stochastic equations, Carleman estimates. AMS Classification. 60H15, 93E99, 93B05, 93B07.;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Abstract. This work is concerned with Carleman inequalities and controllability properties for the following stochastic linear heat equation (with Dirichlet boundary conditions in the bounded domain D⊂Rd and multiplicative noise):
引用
收藏
页码：97 / 120
页数：23
相关论文
共 50 条
  • [41] Carleman estimates for degenerate parabolic operators with applications to null controllability
    F. Alabau-Boussouira
    P. Cannarsa
    G. Fragnelli
    Journal of Evolution Equations, 2006, 6 : 161 - 204
  • [42] Carleman estimates for degenerate parabolic operators with applications to null controllability
    Alabau-Boussouira, F.
    Cannarsa, P.
    Fragnelli, G.
    JOURNAL OF EVOLUTION EQUATIONS, 2006, 6 (02) : 161 - 204
  • [43] CARLEMAN ESTIMATES AND NULL CONTROLLABILITY OF DEGENERATE/SINGULAR PARABOLIC SYSTEMS
    Hajjaj, Abdelkarim
    Maniar, Lahcen
    Salhi, Jawad
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016,
  • [44] ROBUST STACKELBERG CONTROLLABILITY FOR LINEAR AND SEMILINEAR HEAT EQUATIONS
    Hernandez-Santamaria, Victor
    de Teresa, Luz
    EVOLUTION EQUATIONS AND CONTROL THEORY, 2018, 7 (02): : 247 - 273
  • [45] Approximate Controllability for Linear Stochastic Differential Equations in Infinite Dimensions
    Goreac, D.
    APPLIED MATHEMATICS AND OPTIMIZATION, 2009, 60 (01): : 105 - 132
  • [46] Approximate Controllability for Linear Stochastic Differential Equations in Infinite Dimensions
    D. Goreac
    Applied Mathematics and Optimization, 2009, 60 : 105 - 132
  • [47] EXACT CONTROLLABILITY OF LINEAR STOCHASTIC DIFFERENTIAL EQUATIONS AND RELATED PROBLEMS
    Wang, Yanqing
    Yang, Donghui
    Yong, Jiongmin
    Yu, Zhiyong
    MATHEMATICAL CONTROL AND RELATED FIELDS, 2017, 7 (02) : 305 - 345
  • [48] Carleman estimates for the, one-dimensional heat equation with a discontinuous coefficient and applications to controllability and an inverse problem
    Benabdallah, Assia
    Dermenjian, Yves
    Le Rousseau, Jerome
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 336 (02) : 865 - 887
  • [49] Non-Autonomous Degenerate Parabolic Equations with Robin Boundary Conditions: Carleman Estimates and Null-Controllability
    Akil, Mohammad
    Fragnelli, Genni
    Ismail, Sarah
    APPLIED MATHEMATICS AND OPTIMIZATION, 2025, 91 (02):
  • [50] Uniqueness properties for discrete equations and Carleman estimates
    Fernandez Bertolin, Aingeru
    Vega, Luis
    JOURNAL OF FUNCTIONAL ANALYSIS, 2017, 272 (11) : 4853 - 4869
12345