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.
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页码：533 / 558
页数：26
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