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A perturbation theorem of Miyadera type for local \(C\)-regularized semigroups - MaRDI portal

A perturbation theorem of Miyadera type for local \(C\)-regularized semigroups (Q2493617)

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A perturbation theorem of Miyadera type for local \(C\)-regularized semigroups
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    A perturbation theorem of Miyadera type for local \(C\)-regularized semigroups (English)
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    26 June 2006
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    The authors give a Miyadera type perturbation result for local \(C\)-regularized semigroups; the original Miyadera perturbation theorem for \(C_0\)-semigroups can be obtained as a corollary. The result presented in this paper is also suitable for non-exponentially-bounded regularized semigroups, while previous generalizations of Miyadera's results are mainly applicable only for exponentially bounded operator families.
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    multiplicative perturbation
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    Miyadera type perturbation theorem
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    local regularised semigroups
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