Optimal Control of the Obstacle for an Elliptic Variational Inequality
Journal Article
·
· Applied Mathematics and Optimization
- Department of Mathematics, University of Kentucky, Lexington, KY 40506 (United States)
- Department of Mathematics, University of Tennessee, Knoxville, TN 37996 (United States)
- Department of Mathematics, Fudan University, Shanghai 200433 (China)
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{sup 1}{sub 0} ({omega}) so that the state is close to the desired profile while the H{sup 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.
- OSTI ID:
- 21067566
- Journal Information:
- Applied Mathematics and Optimization, Journal Name: Applied Mathematics and Optimization Journal Issue: 2 Vol. 38; ISSN 0095-4616
- Country of Publication:
- United States
- Language:
- English
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