S Arora - arXiv preprint arXiv:2101.11386, 2021 - arxiv.org
We initiate a theory of locally eventually positive operator semigroups on Banach lattices. Intuitively this means: given a positive initial datum, the solution of the corresponding …
D Daners, J Glück - Integral Equations and Operator Theory, 2018 - Springer
Abstract Consider a C_0 C 0-semigroup (e^ tA) _ t ≥ 0 (e tA) t≥ 0 on a function space or, more generally, on a Banach lattice E. We prove a sufficient criterion for the operators e^ tA …
An intriguing feature of positive C_0 C 0-semigroups on function spaces (or more generally on Banach lattices) is that their long-time behaviour is much easier to describe than it is for …
J Glück - European Mathematical Society Magazine, 2022 - ems.press
We discuss linear autonomous evolution equations on function spaces which have the property that a positive initial value leads to a solution which initially changes sign, but then …
Positive $ C_0 $-semigroups that occur in concrete applications are, more often than not, irreducible. Therefore a deep and extensive theory of irreducibility has been developed that …
Abstract (EN) Combining an idea of Takáč with the techniques of Daners, Glück, and Kennedy, we investigate individual and uniform (anti-) maximum principles, thereby …
S Arora, J Glück - Journal of Differential Equations, 2022 - Elsevier
Maximum principles and uniform anti-maximum principles are a ubiquitous topic in PDE theory that is closely tied to the Krein–Rutman theorem and kernel estimates for resolvents …
D Daners, J Glück, J Mui - Differential and Integral Equations, 2023 - projecteuclid.org
We study the evolution equation associated with the biharmonic operator on infinite cylinders with bounded smooth cross-section subject to Dirichlet boundary conditions. The …
D Daners, J Glück - Journal of Operator Theory, 2018 - JSTOR
We consider eventually positive operator semigroups and study the question whether their eventual positivity is preserved by bounded perturbations of the generator or not. We …