Complex powers of \(C\)-sectorial operators. I (Q390030)
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scientific article; zbMATH DE number 6249067
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | 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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