We characterize the polynomial decay of orbits of Hilbert space C 0-semigroups in resolvent
terms. We also show that results of the same type for general Banach space semigroups and …

Only in the last 15 years or so has the notion of semi-uniform stability, which lies between
exponential stability and strong stability, become part of the asymptotic theory of C 0 …

Let S (t) be a bounded strongly continuous semi-group on a Banach space B and–A be its
generator. We say that S (t) is semi-uniformly stable when S (t)(A+ 1)− 1 tends to 0 in …

We consider vibrating systems of Timoshenko type with past history acting only in one
equation. We show that the dissipation given by the history term is strong enough to produce …

The purpose of these Notes is to present some recent advances on stabilization for wave-
like equations together with some well-known methods of stabilization. This course will give …

The asymptotic behaviour, in particular" stability" in some sense, is studied systematically for
discrete and for continuous linear dynamical systems on Banach spaces. Of particular …

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 the …

In this paper we investigate the temporal decay behavior of the solutions of the one-
dimensional problem in various theories of continua with voids. It has been proved that the …

Motivated by potential applications to partial differential equations, we develop a theory of
fine scales of decay rates for operator semigroups. The theory contains, unifies, and extends …

This work deals with the Landau equation for very soft and Coulomb potentials near the
associated Maxwellian equilibrium. We first investigate the corresponding linearized …