Optimal Control of High-Order Elliptic Obstacle Problem

被引：0
|
作者：
Radouen Ghanem
Ibtissam Nouri
机构：
[1] Badji-Mokhtar,Numerical analysis, optimization and statistical laboratory (LANOS)
[2] Annaba University,undefined
来源：
Applied Mathematics & Optimization | 2017年 / 76卷
关键词：
Optimal control; Obstacle problem; Polyharmonic variational inequality; Moreau–Yosida approximation; 49K20; 35J35; 35J87; 74G10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider an optimal control problem for the obstacle problem with an elliptic polyharmonic obstacle problem of order 2m, where the obstacle function is assumed to be the control. We use a Moreau–Yosida approximate technique to introduce a family of problems governed by variational equations. Then, we prove optimal solutions existence and give an approximate optimality system and convergence results by passing to the limit in this system.
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页码：465 / 500
页数：35
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