\(S\)-homogenization of optimal control problems in Banach spaces (Q2785232)

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scientific article; zbMATH DE number 1733427
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\(S\)-homogenization of optimal control problems in Banach spaces
scientific article; zbMATH DE number 1733427

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    8 October 2002
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    homogenization
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    optimal control
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    functional convergence
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    \(S\)-convergence
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    linear-quadratic control problems
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    elliptic boundary value problems
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    \(S\)-homogenization of optimal control problems in Banach spaces (English)
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    It is considered the framework of optimal control problems on Banach spaces, depending on some small parameter. A certain type of functional convergence is used -- introduced by the first author and called \(S\)-convergence. As an application the paper deals with linear-quadratic control problems for some elliptic boundary value problems.
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