Optimal Control for Time-Dependent Variational–Hemivariational Inequalities

被引:0
|
作者
Biao Zeng
机构
[1] Guangxi University for Nationalities,Faculty of Mathematics and Physics
来源
Bulletin of the Malaysian Mathematical Sciences Society | 2021年 / 44卷
关键词
Time-dependent variational–hemivariational inequality; Optimal control; Continuous dependence; Constraint set; Semipermeability problem; Quasistatic frictional contact problem; 47J20; 49J40; 49J45; 74M10; 74M15;
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学科分类号
摘要
The present work is intended to investigate optimal control for time-dependent variational–hemivariational inequalities in which the constraint set depends on time. Based on the existence, uniqueness and boundedness of the solution to the inequality, we deliver two continuous dependence results with respect to the time, and then, an existence result for an optimal control problem is presented. Finally, a semipermeability problem and a quasistatic frictional contact problem are given to illustrate our main results.
引用
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页码:1961 / 1977
页数:16
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