Jochen Glück

activity

20162020

collaborators

3 papers

math.FA2020

Uniform convergence of stochastic semigroups

Jochen Glück, Florian G. Martin

For stochastic $C_{0}$ -semigroups on $L^{1}$ -spaces there is wealth of results that show strong convergence to an equilibrium as $t \to \infty$ , given that the semigroup contains a par…

math.AP2019

Strict positivity for the principal eigenfunction of elliptic operators with various boundary conditions

Wolfgang Arendt, A. F. M. ter Elst, Jochen Glück

We consider elliptic operators with measurable coefficients and Robin boundary conditions on a bounded domain $Ω \subset R^{d}$ and show that the first eigenfunction $v$ sati…

math.FA2016

Lower Bounds and the Asymptotic Behaviour of Positive Operator Semigroups

Moritz Gerlach, Jochen Glück

If $(T_{t})$ is a semigroup of Markov operators on an $L^{1}$ -space that admits a non-trivial lower bound, then a well-known theorem of Lasota and Yorke asserts that the semigroup is s…