81 citations · 151 across the 7 of their papers we have counts for
7 papers
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 , where is a generator of a contraction semigroup and $B…
Local decay of -semigroups with a possible singularity of logarithmic type at zero
Reinhard Stahn
We prove decay rates for a vector-valued function of a non-negative real variable with bounded weak derivative, under rather general conditions on the Laplace transform $\hat{f…
Optimal rates of decay for operator semigroups on Hilbert spaces
Jan Rozendaal, David Seifert, Reinhard Stahn
We investigate rates of decay for -semigroups on Hilbert spaces under assumptions on the resolvent growth of the semigroup generator. Our main results show that one obtains th…
A quantified Tauberian theorem and local decay of -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…
On the decay rate for the wave equation with viscoelastic boundary damping
Reinhard Stahn
We consider the wave equation with a boundary condition of memory type. Under natural conditions on the acoustic impedance of the boundary one can define a corresponding…
Optimal decay rate for the wave equation on a square with constant damping on a strip
Reinhard Stahn
We consider the damped wave equation with Dirichlet boundary conditions on the unit square. We assume the damping to be a characteristic function of a strip. We prove the exact $t^…
Existence of solutions for semilinear elliptic boundary value problems on arbitrary open sets
Reinhard Stahn
We show the existence of a weak solution of a semilinear elliptic Dirichlet problem on an arbitrary open set. We make no assumptions about the open set, very mild regularity assump…