Optimal control of elliptic obstacle problems with mixed boundary conditions

被引：2

作者：

Peng, Zijia ^{[1
]}

Huang, Sheng

Chai, Dailing

机构：

[1] Guangxi Univ Nationalities, Guangxi Key Lab Univ Optimizat Control & Engn Calc, Nanning, Guangxi, Peoples R China

来源：

OPTIMIZATION | 2024年 / 73卷 / 05期

基金：

欧盟地平线“2020”; 中国国家自然科学基金;

关键词：

Variational inequality; optimal control; optimality conditions; boundary optimal control; obstacle problems; DISTRIBUTED CONTROL;

D O I：

10.1080/02331934.2022.2157679

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

We study optimal control of an elliptic obstacle problem with mixed boundary conditions whose weak formulation is a nonlinear variational inequality. We put the control on both the boundary and obstacles. Existence of optimal solutions is proved and the necessary conditions of optimality are derived by the Lagrange multiplier rule and approximation techniques.

引用

页码：1397 / 1416

页数：20

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