Fréchet differentiability for a damped Kirchhoff-type equation and its application to bilinear minimax optimal control problems (Q2282952)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fréchet differentiability for a damped Kirchhoff-type equation and its application to bilinear minimax optimal control problems |
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Fréchet differentiability for a damped Kirchhoff-type equation and its application to bilinear minimax optimal control problems (English)
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23 December 2019
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Summary: We consider a damped Kirchhoff-type equation with Dirichlet boundary conditions. The objective is to show the Fréchet differentiability of a nonlinear solution map from a bilinear control input to the solution of a Kirchhoff-type equation. We use this result to formulate the minimax optimal control problem. We show the existence of optimal pairs and find their necessary optimality conditions.
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differentiability of the data-to-solution map, bilinear control input
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