Nonautonomous differential equations and Lipschitz evolution operators in Banach spaces (Q906591)
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scientific article; zbMATH DE number 6534494
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonautonomous differential equations and Lipschitz evolution operators in Banach spaces |
scientific article; zbMATH DE number 6534494 |
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Nonautonomous differential equations and Lipschitz evolution operators in Banach spaces (English)
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22 January 2016
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The authors introduce a new class of Lipschitz evolution operators and obtain necessary and sufficient conditions for the infinitesimal generators of such evolution operators, which generalize many results of the autonomous case. They apply the abstract theory to a concrete nonlinear wave equation and obtain the existence of global solution.
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Lipschitz evolution operator
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infinitesimal generator
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sub-tangential condition
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quasi-dissipative condition
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metric-like functional
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connectedness condition
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