Differential and analytical properties of semigroups of operators (Q601709)
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scientific article; zbMATH DE number 5808415
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Differential and analytical properties of semigroups of operators |
scientific article; zbMATH DE number 5808415 |
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Differential and analytical properties of semigroups of operators (English)
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29 October 2010
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The paper treats differentiable and analytic distribution and ultradistribution semigroups and semigroups in various subclasses therein (e.g., integrated semigroups). The results are on characterization of their infinitesimal generators, persistence of differentiability/analyticity properties under perturbations, etc. Among the applications, the author studies the analytic properties of solutions of the backward heat equation.
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distribution semigroups
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ultradistribution semigroups
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integrated \(C\)-semigroups
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convoluted \(C\)-semigroups
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differentiability
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analyticity
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