Asymptotics of analytic semigroups (Q5936176)
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scientific article; zbMATH DE number 1616304
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotics of analytic semigroups |
scientific article; zbMATH DE number 1616304 |
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Asymptotics of analytic semigroups (English)
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16 September 2002
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The main result of this paper is that if the closed, densely defined operator \(A\) generates a \(C_0\)-semigroup \(T(\cdot)\), extending analytically in some given sector such that the norm of \(T(\cdot)\) is bounded in each proper subsector, then the norm of \(zAT(z)\) is bounded in each proper subsector.
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analytic semigroups
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generators
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resolvents
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asymptotics
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\(C_0\)-semigroup
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