Optimal control of bilateral obstacle

Abstract : We consider an optimal control problem where the state satisfies a bilateral elliptic variational inequality and the control functions are the upper and lower obstacles. We seek a state that is close to a desired profile and the H2 norms of the obstacles are not too large. Existence results are given and an optimality system is derived. A particular case is studied that needs no compactness assumption, via a monotonicity method.
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https://hal.archives-ouvertes.fr/hal-00022011
Contributor : Maïtine Bergounioux <>
Submitted on : Friday, March 31, 2006 - 10:33:35 AM
Last modification on : Thursday, May 3, 2018 - 3:32:06 PM

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Maïtine Bergounioux, Suzanne Lenhart. Optimal control of bilateral obstacle. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2004, 43, n°1 pp 240-255. ⟨10.1137/S0363012902416912⟩. ⟨hal-00022011⟩

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