On uniqueness of fractional powers of multi-valued linear operators and the incomplete Cauchy problem (Q666285)
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scientific article; zbMATH DE number 6012917
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On uniqueness of fractional powers of multi-valued linear operators and the incomplete Cauchy problem |
scientific article; zbMATH DE number 6012917 |
Statements
On uniqueness of fractional powers of multi-valued linear operators and the incomplete Cauchy problem (English)
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8 March 2012
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In this paper, the author proves the uniqueness of continuous families of fractional powers of a multi-valued linear operator, especially the family of fractional powers of a sectorial operator. Finally, the author also discusses a certain equivalence between multiplicativity of the family \(\{A^t\}_{t>0}\) and the uniqueness theorem.
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multi-valued linear operators
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semigroups of linear operators
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fractional powers
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