Hölder classes with boundary conditions as interpolation spaces (Q1097401)

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scientific article; zbMATH DE number 4034206
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Hölder classes with boundary conditions as interpolation spaces
scientific article; zbMATH DE number 4034206

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    Hölder classes with boundary conditions as interpolation spaces (English)
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    1987
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    Some interpolation spaces between the Banach space of continuous functions and the domain of an elliptic differential operator A are characterized. The characterization is valid under certain conditions on the resolvent of A, which are satisfied, in particular, when A is the infinitesimal generator of an analytic semigroup.
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    interpolation spaces
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    Banach space
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    characterization
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    resolvent
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    infinitesimal generator
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    analytic semigroup
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