Optimal control of elastic vector-valued Allen-Cahn variational inequalities (Q2789581)
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scientific article; zbMATH DE number 6548236
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Optimal control of elastic vector-valued Allen-Cahn variational inequalities |
scientific article; zbMATH DE number 6548236 |
Statements
2 March 2016
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vector-valued Allen-Cahn system
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parabolic obstacle problems
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linear elasticity
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MPCCs
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mathematical programs with complementarity constraints
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optimality conditions
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Optimal control of elastic vector-valued Allen-Cahn variational inequalities (English)
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From the authors' abstract: An elastic vector-valued Allen-Cahn mathematical programs with complementarity constraints problem is considered. Using a regularization approach, the optimality system for subproblems is obtained. By passing to the limit in the optimality conditions for the regularized subproblems, certain generalized first-order necessary optimality conditions for original problem are obtained.
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