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arXiv:1505.04464 [math.FA]AbstractReferencesReviewsResources

Asymptotic properties of $C_0$-semigroups under perturbations

Martin Adler

Published 2015-05-17Version 1

For a given $C_0$-semigroup $(T(t))_{t\geq 0}$ we consider Staffans-Weiss perturbations $(B,C)$ of its generator as studied in [1] and investigate the robustness of asymptotic properties of the perturbed $C_0$-semigroup $(T_{BC}(t))_{t\geq 0}$. As a concrete application we study the asymptotic behavior of a neutral semigroup.

Categories: math.FA
Subjects: 47D06, 47A55, 34E10, 34K40
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