.png){kind=icon}
返回
Optimal control and approximation for elliptic bilateral obstacle problems
.png){kind=icon}
PRE
AI
DOI：10.1016/j.cnsns.2021.105938.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
The aim of this paper is to study an elliptic bilateral obstacle system (EBOS, for short) involving a nonlinear and nonhomogeneous partial differential operator and a multivalued term which is described by Clarke's generalized gradient. First, we obtain the weak formulation of (EBOS) which is a variational-hemivariational inequality, and prove the unique solvability of the bilateral obstacle problem. Second, we consider a nonlinear optimal control problem governed by (EBOS) in which the control variable is the bilateral obstacle, and establish the existence of an optimal solution to the obstacle control problem under mild conditions. Then, employing the regularization technique and penalty approach, we introduce a family of approximating problems corresponding to the optimal control problem under consideration. Finally, a convergence result that any sequence of solutions for the approximating problems converges to an optimal solution of the original optimal control problem is delivered. (c) 2021 Elsevier B.V. All rights reserved.
Keyword:
Bilateral obstacle problem
Optimal control
Clarke's generalized gradient
Existence
Nonhomogeneity
Regularization
Convergence
AI总结
对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。
期刊
IF:
3.8
论文数:
9.4K
被引数:
1.8W
机构
引用论文
.png){kind=icon}
分享收藏
查看更多内容