OPTIMAL-CONTROL OF THE OBSTACLE FOR AN ELLIPTIC VARIATIONAL INEQUALITY

Authors
ADAMS DR LENHART SM YONG J
Citation
Dr. Adams et al., OPTIMAL-CONTROL OF THE OBSTACLE FOR AN ELLIPTIC VARIATIONAL INEQUALITY, Applied mathematics & optimization, 38(2), 1998, pp. 121-140
Citations number
19
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied mathematics & optimization → ACNP
ISSN journal
00954616
Volume
38
Issue
2
Year of publication
1998
Pages
121 - 140
Database
ISI
SICI code
0095-4616(1998)38:2<121:OOTOFA>2.0.ZU;2-H
Abstract
An optimal control problem for an elliptic obstacle variational inequa lity is considered. The obstacle is taken to be the control and the so lution to the obstacle problem is taken to be the state, The goal is t o find the optimal obstacle from H-0(1)(Omega) so that the state is do se 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.