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Optimal Control of the Obstacle for a Parabolic Variational Inequality

✍ Scribed by David R. Adams; Suzanne Lenhart

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
112 KB
Volume
268
Category
Article
ISSN
0022-247X

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✦ Synopsis

An optimal control problem for a parabolic obstacle variational inequality is considered. The obstacle in L 2 0 T H 2 ∩ H 1 0 with ψ t ∈ L 2 Q is taken as the control, and the solution to the obstacle problem is taken as the state. The goal is to find the optimal control so that the state is close to the desired profile while the norm of the obstacle is not too large. Existence and necessary conditions for the optimal control are established.  2002 Elsevier Science (USA)

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