Complex powers of \(C\)-sectorial operators. I (Q390030)

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scientific article; zbMATH DE number 6249067
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Complex powers of \(C\)-sectorial operators. I
scientific article; zbMATH DE number 6249067

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    Complex powers of \(C\)-sectorial operators. I (English)
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    22 January 2014
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    The authors construct complex powers of \(C\)-sectorial operators in sequentially complete, locally convex Hausdorff spaces. The results obtained are used to analyze higher order Cauchy problems. A specific example arising for a class of abstract space-time fractional PDEs is given.
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    fractional powers of operators
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    \(C\)-regularized resolvent families
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    abstract time-fractional equations
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