Optimal Control of the Obstacle for an Elliptic Variational Inequality |
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| Authors: | D R Adams S M Lenhart J Yong |
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| Institution: | (1) Department of Mathematics, University of Kentucky, Lexington, KY 40506, USA , US;(2) Department of Mathematics, University of Tennessee, Knoxville, TN 37996, USA , US;(3) Department of Mathematics, Fudan University, Shanghai 200433, China , CN |
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| Abstract: | 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
1
0
(Ω) so that the state is close to the desired profile while the H
1
(Ω) norm of the obstacle is not too large. Existence, uniqueness, and regularity as well as some characterizations of the optimal
pairs are established.
Accepted 11 September 1996 |
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| Keywords: | , Obstacle problem, Green potentials, Approximation, AMS Classification, 93C20, 31B05, |
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