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Asymptotic properties of $C_0$-semigroups under perturbations

Published 17 May 2015 in math.FA | (1505.04464v2)

Abstract: 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.

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Authors (1)

  1. Martin Adler 

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