Local integrated \(C\)-semigroups (Q2717577)
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scientific article; zbMATH DE number 1605176
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Local integrated \(C\)-semigroups |
scientific article; zbMATH DE number 1605176 |
Statements
17 June 2001
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local \(n\)-times integrated \(C\)-semigroups
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local \(C\)-semigroups
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local integrated semigroups
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local \(C\)-cosine functions
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\(C\)-wellposedness
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second abstract Cauchy problem
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Local integrated \(C\)-semigroups (English)
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The author investigates a new notion of a local \(n\)-times integrated \(C\)-semigroups. This notion unifies the classes of local \(C\)-semigroups, local integrated semigroups and local \(C\)-cosine functions. The relations between the local \(n\)-times integrated \(C\)-semigroups, the \(C\)-wellposedness of the \((n+1)\)-times integrated and second abstract Cauchy problem are studied. The generation theorem for local \(n\)-times integrated \(C\)-semigroups is given.
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