Exact controllability of the heat equation with hyperbolic memory kernel

被引：0
|
作者：
Yong, JM [1 ]
Zhang, X [1 ]
机构：
[1] Fudan Univ, Dept Math, Shanghai 200433, Peoples R China
来源：
Control Theory of Partial Differential Equations | 2005年 / 242卷
关键词：
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：
The exact controllability for the heat equation with hyperbolic memory kernel is considered. Because of the appearance of such kind of memory, the speed of propagation for heat pulses is finite, and the corresponding controllability property has a certain nature similar to the wave equation and is significantly different from that of the usual heat equation.
引用
收藏
页码：387 / 401
页数：15
相关论文
共 50 条
  • [41] EXACT BOUNDARY CONTROLLABILITY OF COUPLED HYPERBOLIC EQUATIONS
    Avdonin, Sergei
    Rivero, Abdon Choque
    de Teresa, Luz
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2013, 23 (04) : 701 - 709
  • [42] Asymptotic behavior of a nonlinear hyperbolic heat equation with memory
    Claudio Giorgi
    Vittorino Pata
    Nonlinear Differential Equations and Applications NoDEA, 2001, 8 : 157 - 171
  • [43] Asymptotic behavior of a nonlinear hyperbolic heat equation with memory
    Giorgi, C
    Pata, V
    NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2001, 8 (02): : 157 - 171
  • [44] Exact Null Controllability of KdV-Burgers Equation with Memory Effect Systems
    Kumar, Rajagounder Ravi
    Chong, Kil To
    Park, Jong Ho
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [45] Exact controllability to the trajectories of the heat equation with Fourier boundary conditions:: The semilinear case
    Fernandez-Cara, Enrique
    Gonzalez-Burgos, Manuel
    Guerrero, Sergio
    Puel, Jean-Pierre
    ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2006, 12 (03) : 466 - 483
  • [46] Exact controllability of the generalized Boussinesq equation
    Zhang, BY
    CONTROL AND ESTIMATION OF DISTRIBUTED PARAMETER SYSTEMS, 1998, 126 : 297 - 310
  • [47] EXACT CONTROLLABILITY FOR THE SCHRODINGER-EQUATION
    MACHTYNGIER, E
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1994, 32 (01) : 24 - 34
  • [48] EXACT BOUNDARY CONTROLLABILITY OF AN INTEGRODIFFERENTIAL EQUATION
    LEUGERING, G
    APPLIED MATHEMATICS AND OPTIMIZATION, 1987, 15 (03): : 223 - 250
  • [49] Exact controllability of the damped wave equation
    Shubov, MA
    Martin, CF
    Dauer, JP
    Belinskiy, BP
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1997, 35 (05) : 1773 - 1789
  • [50] Exact Controllability of the Wave Equation on Graphs
    Sergei Avdonin
    Yuanyuan Zhao
    Applied Mathematics & Optimization, 2022, 85
12345