Optimal Control of Elliptic Variational–Hemivariational Inequalities

被引：1

作者：

Zijia Peng

Karl Kunisch

机构：

[1] Guangxi University for Nationalities,Guangxi Key Laboratory of Universities Optimization Control and Engineering Calculation, and College of Sciences

[2] Karl-Franzens-Universität Graz,Institut für Mathematik

来源：

Journal of Optimization Theory and Applications | 2018年 / 178卷

关键词：

Hemivariational inequality; Optimality system; Necessary optimality condition; Obstacle; 47J20; 49J20; 49J40; 49K20;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper deals with the optimality system of an optimal control problem governed by a nonlinear elliptic inclusion and a nonsmooth cost functional. The system describing the state consists of a variational–hemivariational inequality, the solution mapping of which with respect to the control is proved to be weakly closed. Existence of optimal pairs for the optimal control problem is obtained. Approximation results and abstract necessary optimality conditions of first order are derived based on the adapted penalty method and nonsmooth analysis techniques. Moreover, the optimality system for a class of obstacle problems with nonmonotone perturbation is given.

引用

页码：1 / 25

页数：24

共 34 条

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