Identification of an unknown parameter function in the main part of an elliptic partial differential equation (Q1950972)
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scientific article; zbMATH DE number 6167079
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Identification of an unknown parameter function in the main part of an elliptic partial differential equation |
scientific article; zbMATH DE number 6167079 |
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Identification of an unknown parameter function in the main part of an elliptic partial differential equation (English)
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28 May 2013
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Summary: The identification of an unknown parameter function in the main part of an elliptic partial differential equation is studied. We use a Tichonov regularization with an \(H^s\)-norm and \(s>0\). Moreover, pointwise bounds for the unknown parameter are assumed. Existence of solutions is shown and necessary optimality conditions are established. The main contribution is the discussion of second-order sufficient optimality conditions. Here, we get a size condition of the parameter \(s\).
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parameter identification
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inverse problems
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Tichonov regularization
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optimal control
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inequality constraints
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necessary and sufficient optimality conditions
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