An obstacle control problem with a source term
type: Item
instance of: scholarly article
title: An obstacle control problem with a source term
zbMATH Open document ID: 1029.49006
author: David R. Adams
author: Suzanne Lenhart
published in: Applied Mathematics and Optimization
publication date: 2003-05-04T00:00:00Z
review text: The paper deals with an optimal control problem for an elliptic variational inequality with source term. The obstacle is the control and the goal is to keep the solution of the variational inequality close to the desired profile while the \(H^1\) norm of the obstacle is not too large. The presence of source term strongly affects the needed compactness result for the existence of a minimizer.
reviewed by: Dian K. Palagachev
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 35J85
Mathematics Subject Classification ID: 31B05
zbMATH DE Number: 1903862
zbMATH Keywords: obstacle problem
zbMATH Keywords: optimal control
zbMATH Keywords: elliptic variational inequality
MaRDI profile type: Publication
full work available at URL: s00245-002-0739-1
OpenAlex ID: W2089041560
Wikidata QID: Q60231254
DOI: 10.1007/S00245-002-0739-1
description: scientific article; zbMATH DE number 1903862