Optimal control of high-order elliptic obstacle problem (Q681932)
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scientific article; zbMATH DE number 6837688
| Language | Label | Description | Also known as |
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| English | Optimal control of high-order elliptic obstacle problem |
scientific article; zbMATH DE number 6837688 |
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Optimal control of high-order elliptic obstacle problem (English)
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13 February 2018
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Consider optimal control problems having state functions described by variational inequalities of obstacle type, where the obstacle plays the role of the control function. The existence of optimal solutions is studied, and a penalty method is applied to deal with the nondifferentiability of the control-to-state operator. Necessary optimality conditions are derived related to a system of approximate problems. Moreover, the convergence properties of the approximate solution procedure are considered.
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optimal control
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obstacle problem
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polyharmonic variational inequality
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Moreau-Yosida approximation
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