Trotter's approximation of semigroups and order of convergence in \(C^{2, \alpha }\)-spaces (Q619070)
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scientific article; zbMATH DE number 5840448
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Trotter's approximation of semigroups and order of convergence in \(C^{2, \alpha }\)-spaces |
scientific article; zbMATH DE number 5840448 |
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Trotter's approximation of semigroups and order of convergence in \(C^{2, \alpha }\)-spaces (English)
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21 January 2011
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The authors improve the quantitative estimate of the convergence in Trotter's approximation theorem and obtain a representation of the resolvent operators in terms of iterates of linear operators on the whole domain. Some estimates for functions of class \(C^{2,\alpha}\) are considered in this paper, which allow one to establish a partial inverse result.
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Trotter-Kato approximation theorem
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representation of resolvent operators
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convergence of iterates of linear operators
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0.86463237
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0.86176753
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