Optimal Control of Nonclassical Diffusion Equations with Memory

被引：4
作者：
Nguyen Duong Toan [1 ]
机构：
[1] Haiphong Univ, Dept Math, 171 Phan Dang Luu, Kien An, Haiphong, Vietnam
来源：
ACTA APPLICANDAE MATHEMATICAE | 2020年 / 169卷 / 01期
关键词：
Nonclassical diffusion equations; Optimal control; Necessary optimality conditions; Sufficient optimality conditions; PARABOLIC EQUATIONS; HEAT-CONDUCTION; ATTRACTORS; 2ND-ORDER; DYNAMICS; STABILITY;
D O I：
10.1007/s10440-020-00310-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we consider an optimal control problem of nonclassical diffusion equations with memory. We investigate the existence and uniqueness of optimal solutions. The necessary and sufficient optimality conditions are also studied. The main novelty of our result is to establish the optimality conditions for the parabolic optimal control problem with memory.
引用
收藏
页码：533 / 558
页数：26
相关论文
共 50 条
  • [31] Pullback attractors of nonautonomous nonclassical diffusion equations with nonlocal diffusion
    Xiaoming Peng
    Yadong Shang
    Xiaoxiao Zheng
    Zeitschrift für angewandte Mathematik und Physik, 2018, 69
  • [32] Attractor of the nonclassical diffusion equation with memory on time-dependent space
    Wang, Jing
    Ma, Qiaozhen
    Zhou, Wenxue
    AIMS MATHEMATICS, 2023, 8 (06): : 14820 - 14841
  • [33] Optimal Control for Fractional Diffusion Equations with Incomplete Data
    Mophou, Gisele
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2017, 174 (01) : 176 - 196
  • [34] Upper semicontinuity of uniform attractors for nonclassical diffusion equations
    Wang, Yonghai
    Li, Pengrui
    Qin, Yuming
    BOUNDARY VALUE PROBLEMS, 2017,
  • [35] Attractors for nonclassical diffusion equations with dynamic boundary conditions
    Lee, Jihoon
    Vu Manh Toi
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2020, 195
  • [36] Time Optimal Control Problem of the 2D MHD Equations with Memory
    Dang Thanh Son
    Nguyen Duong Toan
    Journal of Dynamical and Control Systems, 2023, 29 : 1323 - 1355
  • [37] The optimal control of nonlinear diffusion equations with rough initial data
    Rubio, JE
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2000, 337 (06): : 673 - 690
  • [38] Optimal control of continuity equations
    Pogodaev, Nikolay
    NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2016, 23 (02):
  • [39] OPTIMAL DIRICHLET BOUNDARY CONTROL OF STATIONARY NAVIER-STOKES EQUATIONS WITH STATE CONSTRAINT
    John, C.
    Wachsmuth, D.
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2009, 30 (11-12) : 1309 - 1338
  • [40] NONCLASSICAL OPTIMIZATION AND ADAPTIVE OPTIMAL-CONTROL
    KRASOVSKIY, AA
    JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL, 1994, 32 (02) : 1 - 15
12345