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
  • [1] Optimal Control of Nonclassical Diffusion Equations with Memory
    Nguyen Duong Toan
    Acta Applicandae Mathematicae, 2020, 169 : 533 - 558
  • [2] Uniform Attractors for Nonclassical Diffusion Equations with Memory
    Xie, Yongqin
    Li, Yanan
    Zeng, Ye
    JOURNAL OF FUNCTION SPACES, 2016, 2016
  • [3] Nonclassical diffusion with memory
    Conti, Monica
    Marchini, Elsa M.
    Pata, Vittorino
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (05) : 948 - 958
  • [4] TRAJECTORY ATTRACTORS FOR NONCLASSICAL DIFFUSION EQUATIONS WITH FADING MEMORY
    Wang, Yonghai
    Wang, Lingzhi
    ACTA MATHEMATICA SCIENTIA, 2013, 33 (03) : 721 - 737
  • [5] Attractors for the nonclassical diffusion equations with fading memory
    Wang, Xuan
    Yang, Lu
    Zhong, Chengkui
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 362 (02) : 327 - 337
  • [6] Global existence and decay estimates for the semilinear nonclassical-diffusion equations with memory in Rn
    Berbiche, Mohamed
    Melik, Ammar
    ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL, 2022, 15 (02): : 29 - 53
  • [7] Dynamical behavior of nonclassical diffusion equations with memory and lacking instantaneous damping
    Xie, Zhe
    Li, Jun
    Xie, Yongqin
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (04) : 2548 - 2571
  • [8] ATTRACTORS FOR A CLASS OF PERTURBED NONCLASSICAL DIFFUSION EQUATIONS WITH MEMORY
    Yuan, Jianbo
    Zhang, Shixuan
    Xie, Yongqin
    Zhang, Jiangwei
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2021, : 4995 - 5007
  • [9] NONCLASSICAL DIFFUSION WITH MEMORY LACKING INSTANTANEOUS DAMPING
    Conti, Monica
    Dell'Oro, Filippo
    Pata, Vittorino
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2020, 19 (04) : 2035 - 2050
  • [10] Optimal boundary control of a system of reaction diffusion equations
    Barthel, Werner
    John, Christian
    Troeltzsch, Fredi
    ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2010, 90 (12): : 966 - 982
12345