Asymptotic expansion for the solution of an optimal boundary control problem in a doubly connected domain with different control intensity on boundary segments (Q2116586)
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scientific article; zbMATH DE number 7492851
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic expansion for the solution of an optimal boundary control problem in a doubly connected domain with different control intensity on boundary segments |
scientific article; zbMATH DE number 7492851 |
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Asymptotic expansion for the solution of an optimal boundary control problem in a doubly connected domain with different control intensity on boundary segments (English)
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18 March 2022
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The paper deals with an optimal boundary control problem for a quadratic functional and a linear elliptic equation. This state equation is a classical singular perturbation problem where the diffusion term is multiplied by \(\varepsilon^2\) with \(\varepsilon\) a positive small parameter devoted to converge to zero. The control variable corresponds to a Neumann condition. The author obtains a complete asymptotic expansion of the solutions of the problem.
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singular perturbation equation
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asymptotic expansions
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boundary control problem
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0.9369958
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0.9289108
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0.92419565
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0.90834856
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0.9073783
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