Continuous Dependence and Optimal Control for a Class of Variational-Hemivariational Inequalities

被引：8

作者：

Jiang, Caijing ^{[1
]}

Zeng, Biao ^{[2
]}

机构：

[1] Guangxi Univ Nationalities, Coll Sci, Nanning 530006, Guangxi, Peoples R China

[2] Guangxi Univ, Coll Math & Informat Sci, Nanning 530004, Guangxi, Peoples R China

来源：

APPLIED MATHEMATICS AND OPTIMIZATION | 2020年 / 82卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Continuous dependence; Optimal control; Variational-hemivariational inequality; Mosco convergence;

D O I：

10.1007/s00245-018-9543-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper investigates control problems for a class of nonlinear elliptic variational-hemivariational inequalities with constraint sets. Based on the well posedness of a variational-hemivariational inequality, we prove some results on continuous dependence and existence of optimal pairs to optimal control problems. We obtain some continuous dependence results in which the strong dependence and weak dependence are considered, respectively. A frictional contact problem is given to illustrate our main results.

引用

页码：637 / 656

页数：20

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