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Nonlinear perturbations of a class of integrated semigroups on non-convex domains (Q1812282)

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scientific article; zbMATH DE number 1932206
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English
Nonlinear perturbations of a class of integrated semigroups on non-convex domains
scientific article; zbMATH DE number 1932206

    Statements

    Nonlinear perturbations of a class of integrated semigroups on non-convex domains (English)
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    7 October 2003
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    A general class of nonlinear perturbations is introduced for integrated semigroups. The characterization of the obtained nonlinear semigroups is discussed in terms of semilinear stability and tangential conditions. In addition, a Hille-Yosida type theorem is obtained in the convex case.
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    integrated semigroups
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    nonconvex domain
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    infinitesimal generator
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    semilinear stability
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    subtangential condition
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    local Lipschitz continuity
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    Hille-Yosida theorem
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