Optimal Control Problem for Nonstationary Schrodinger Equation

被引：7
|
作者：
Yildiz, Bunyamin [1 ]
Kilicoglu, Oguz [1 ]
Yagubov, G. [1 ]
机构：
[1] Mustafa Kemal Univ, Fac Arts & Sci, Dept Math, Antakya, Turkey
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2009年 / 25卷 / 05期
关键词：
Schrodinger equation; optimal control problem; variational problem;
D O I：
10.1002/num.20395
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this study we investigate an optimal control problem for the nonstationary Schrodinger equation; the questions needed to correctly identify the optimal control problem were answered, and the existence and uniqueness of the solution and the necessary and sufficient conditions for the solution were investigated. We consider the initial situation as control for the controlled system. (C) 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 25: 1195-1203, 2009
引用
收藏
页码：1195 / 1203
页数：9
相关论文
共 50 条
  • [31] OPTIMAL CONTROL FOR STOCHASTIC NONLINEAR SCHRODINGER EQUATION ON GRAPH
    Cui, Jianbo
    Liu, Shu
    Zhou, Haomin
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2023, 61 (04) : 2021 - 2042
  • [32] Optimal control of the Schrodinger equation with two or three levels
    Boscain, U
    Charlot, G
    Gauthier, JP
    NONLINEAR AND ADAPTIVE CONTROL, NCN4 2001, 2003, 281 : 33 - 43
  • [33] AN OPTIMAL CONTROL PROBLEM FOR SCHRODINGER'S EQUATION WITH REAL-VALUED COEFFICIENT IN THE NON-LINEAR PART OF THE EQUATION
    Mahmudov, Nurali M.
    PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2008, 29 (37): : 231 - 238
  • [34] Singularities of the Green function of the nonstationary Schrodinger equation
    Buslaeva, MV
    Buslaev, VS
    FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 1998, 32 (02) : 132 - 134
  • [35] RESOLVENT APPROACH FOR THE NONSTATIONARY SCHRODINGER-EQUATION
    BOITI, M
    PEMPINELLI, F
    POGREBKOV, AK
    POLIVANOV, MC
    INVERSE PROBLEMS, 1992, 8 (03) : 331 - 364
  • [36] Some nondecaying potentials for the nonstationary Schrodinger equation
    Boiti, M
    Pempinelli, F
    Prinari, B
    Pogrebkov, AK
    PROCEEDINGS OF THE WORKSHOP ON NONLINEARITY, INTEGRABILITY AND ALL THAT: TWENTY YEARS AFTER NEEDS '79, 2000, : 33 - 41
  • [37] An optimal control problem for the Oskolkov equation
    Sviridyuk, GA
    Plekhanova, MV
    DIFFERENTIAL EQUATIONS, 2002, 38 (07) : 1064 - 1066
  • [38] AN OPTIMAL CONTROL PROBLEM FOR THE WIGNER EQUATION
    Morandi, Omar
    Rotundo, Nella
    Borzi, Alfio
    Barletti, Luigi
    SIAM JOURNAL ON APPLIED MATHEMATICS, 2024, 84 (02) : 387 - 411
  • [39] An optimal control problem for the Hoff equation
    Sviridyuk G.A.
    Manakova N.A.
    Journal of Applied and Industrial Mathematics, 2007, 1 (2) : 247 - 253
  • [40] An Optimal Control Problem for the Oskolkov Equation
    G. A. Sviridyuk
    M. V. Plekhanova
    Differential Equations, 2002, 38 : 1064 - 1066
12345