50 citations · 193 across the 24 of their papers we have counts for
4 papers · 1 filter
Spectrum and convergence of eventually positive operator semigroups
Sahiba Arora, Jochen Glück
An intriguing feature of positive -semigroups on function spaces (or more generally on Banach lattices) is that their long-time behaviour is much easier to describe than it is…
Nonlinear small-gain theorems for input-to-state stability of infinite interconnections
Andrii Mironchenko, Christoph Kawan, Jochen Glück
We consider infinite heterogeneous networks, consisting of input-to-state stable subsystems of possibly infinite dimension. We show that the network is input-to-state stable, provi…
Positive irreducible semigroups and their long-time behaviour
Wolfgang Arendt, Jochen Glück
The notion \emph{Perron-Frobenius theory} usually refers to the interaction between three properties of operator semigroups: positivity, spectrum and long-time behaviour. These int…
Stability of transition semigroups and applications to parabolic equations
Moritz Gerlach, Jochen Glück, Markus Kunze
The paper deals with the long-term behavior of positive operator semigroups on spaces of bounded functions and of signed measures, which have applications to parabolic equations wi…