Optimal control of the obstacle for an elliptic variational inequality (Q1265405)
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scientific article; zbMATH DE number 1203651
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Optimal control of the obstacle for an elliptic variational inequality |
scientific article; zbMATH DE number 1203651 |
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Optimal control of the obstacle for an elliptic variational inequality (English)
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2 June 1999
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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 \(H_0^1(\Omega)\) so that the state is close to the desired profile while the \(H^1(\Omega)\) norm of the obstacle is not too large. Existence, uniqueness, and regularity as well as some characterizations of the optimal pairs are established.
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obstacle problem
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Green potentials
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approximation
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elliptic obstacle variational inequalities
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