81 citations · 350 across the 28 of their papers we have counts for
28 papers
A short elementary proof of the Gearhart-Prüss theorem for bounded semigroups
Filippo Dell'Oro, David Seifert
We present a short elementary proof of the Gearhart-Prüss theorem for bounded -semigroups on Hilbert spaces.
Some developments around the Katznelson-Tzafriri theorem
Charles Batty, David Seifert
This paper is a survey article on developments arising from a theorem proved by Katznelson and Tzafriri in 1986 showing that if is a power-b…
A continuous-parameter Katznelson-Tzafriri theorem for algebras of analytic functions
Charles Batty, David Seifert
We prove a continuous-parameter version of the recent theorem of Katznelson-Tzafiri type for power-bounded operators which have a bounded calculus for analytic Besov functions. We…
A Katznelson-Tzafriri theorem for analytic Besov functions of operators
Charles Batty, David Seifert
Let be a power-bounded operator on a Banach space , be a Banach algebra of bounded holomorphic functions on the unit disc , and assume that there i…
Optimal decay for a wave-heat system with Coleman-Gurtin thermal law
Filippo Dell'Oro, Lassi Paunonen, David Seifert
We study the long-term behaviour of solutions to a one-dimensional coupled wave-heat system with Coleman-Gurtin thermal law. Our approach is based on the asymptotic theory of …
Semi-uniform stability of operator semigroups and energy decay of damped waves
R. Chill, D. Seifert, Y. Tomilov
Only in the last fifteen years or so has the notion of semi-uniform stability, which lies between exponential stability and strong stability, become part of the asymptotic theory o…