Optimal control of the obstacle for an elliptic variational inequality
type: Item
instance of: scholarly article
title: Optimal control of the obstacle for an elliptic variational inequality
zbMATH Open document ID: 0914.49005
author: David R. Adams
author: Suzanne Lenhart
author: Jiongmin Yong
published in: Applied Mathematics and Optimization
publication date: 1999-06-02T00:00:00Z
review text: An optimal control problem for an elliptic obstacle variational inequality is considered. The obstacle is taken to be the control and the solution to the obstacle problem is taken to be the state. The goal is to find the optimal obstacle from \(H_0^1(\Omega)\) so that the state is close to the desired profile while the \(H^1(\Omega)\) norm of the obstacle is not too large. Existence, uniqueness, and regularity as well as some characterizations of the optimal pairs are established.
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 35J85
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 31B05
zbMATH DE Number: 1203651
zbMATH Keywords: obstacle problem
zbMATH Keywords: Green potentials
zbMATH Keywords: approximation
zbMATH Keywords: elliptic obstacle variational inequalities
reviewed by: P. Neittaanmäki
MaRDI profile type: Publication
full work available at URL: s002459900085
OpenAlex ID: W1993397232
DOI: 10.1007/S002459900085
description: scientific article; zbMATH DE number 1203651