Reinhard Stahn

activity

20152019

most citedOptimal rates of decay for operator semigroups on Hilbert spaces

81 citations · 151 across the 7 of their papers we have counts for

collaborators

Showing math.FAShow all

4 papers · 1 filter

math.FA2019★ 13 cited

Non-uniform Stability of Damped Contraction Semigroups

Ralph Chill, Lassi Paunonen, David Seifert +2

We investigate the stability properties of strongly continuous semigroups generated by operators of the form $A - B B^{*}$ , where $A$ is a generator of a contraction semigroup and $B…

math.FA2017★ 12 cited

Local decay of $C_{0}$ -semigroups with a possible singularity of logarithmic type at zero

Reinhard Stahn

We prove decay rates for a vector-valued function $f$ of a non-negative real variable with bounded weak derivative, under rather general conditions on the Laplace transform $\hat{f…

math.FA2017★ 81 cited

Optimal rates of decay for operator semigroups on Hilbert spaces

Jan Rozendaal, David Seifert, Reinhard Stahn

We investigate rates of decay for $C_{0}$ -semigroups on Hilbert spaces under assumptions on the resolvent growth of the semigroup generator. Our main results show that one obtains th…

math.FA2017★ 2 cited

A quantified Tauberian theorem and local decay of $C_{0}$ -semigroups

Reinhard Stahn

We prove a quantified Tauberian theorem for functions under a new kind of Tauberian condition. In this condition we assume in particular that the Laplace transform of the considere…

Non-uniform Stability of Damped Contraction Semigroups

Local decay of C0​-semigroups with a possible singularity of logarithmic type at zero

Optimal rates of decay for operator semigroups on Hilbert spaces

A quantified Tauberian theorem and local decay of C0​-semigroups

Local decay of $C_{0}$ -semigroups with a possible singularity of logarithmic type at zero

A quantified Tauberian theorem and local decay of $C_{0}$ -semigroups