Zobrazeno 1 - 10
of 123
pro vyhledávání: '"DANERS, DANIEL"'
Autor:
Arendt, Wolfgang, Daners, Daniel
We study semi-linear evolutionary problems where the linear part is the generator of a positive $C_0$-semigroup. The non-linear part is assumed to be quasi-increasing. Given an initial value in between a sub- and a super-solution of the stationary pr
Externí odkaz:
http://arxiv.org/abs/2407.05522
Autor:
Daners, Daniel, Zeaiter, Zeaiter
We consider a parameter dependent periodic-logistic problem with a logistic term involving a degeneracy that replicates time dependent refuges in the habitat of a population. Working under no or very minimal assumptions on the boundary regularity of
Externí odkaz:
http://arxiv.org/abs/2406.03419
Autor:
Arendt, Wolfgang, Daners, Daniel
Publikováno v:
Journal of Differential Equations 346 (2023) 376-415
The paper makes use of recent results in the theory of Banach lattices and positive operators to deal with abstract semilinear equations. The aim is to work with minimal or no regularity conditions on the boundary of the domains, where the usual argu
Externí odkaz:
http://arxiv.org/abs/2202.03780
Publikováno v:
Differential Integral Equations 36(9/10): 727-756 (September/October 2023)
We study the evolution equation associated with the biharmonic operator on infinite cylinders with bounded smooth cross-section subject to Dirichlet boundary conditions. The focus is on the asymptotic behaviour and positivity properties of the soluti
Externí odkaz:
http://arxiv.org/abs/2111.02753
Publikováno v:
J. Aust. Math. Soc. 111 (2021) 202-220
We discuss an alternative approach to Fr\'echet derivatives on Banach spaces inspired by a characterisation of derivatives due to Carath\'eodory. The approach allows us to reduce many questions of differentiability to a question of continuity. We dem
Externí odkaz:
http://arxiv.org/abs/1910.11531
Autor:
Arendt, Wolfgang, Daners, Daniel
Publikováno v:
In Journal of Differential Equations 15 February 2023 346:376-415
Autor:
Daners, Daniel, Glück, Jochen
Publikováno v:
Integral Equations and Operator Theory, 90(4), 2018, Article No. 46
Consider a $C_0$-semigroup $(e^{tA})_{t \ge 0}$ on a function space or, more generally, on a Banach lattice $E$. We prove a sufficient criterion for the operators $e^{tA}$ to be positive for all sufficiently large times $t$, while the semigroup itsel
Externí odkaz:
http://arxiv.org/abs/1801.05179
Autor:
Daners, Daniel, Glück, Jochen
Publikováno v:
Journal of Operator Theory, 79(2), 2018, pp 345-372
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 demonstrate that eventual positivity is not stable with respect to large po
Externí odkaz:
http://arxiv.org/abs/1703.10108
Autor:
Daners, Daniel, Glück, Jochen
Publikováno v:
Bulletin of the Australian Mathematical Society, 96(2), 2017, pp 286-298
We perform an in-depth study of some domination and smoothing properties of linear operators and of their role within the theory of eventually positive operator semigroups. On the one hand we prove that, on many important function spaces, they imply
Externí odkaz:
http://arxiv.org/abs/1701.07309
Autor:
Daners, Daniel, Thornett, Christopher
Publikováno v:
Journal of Differential Equations 261 (2016) 273-295
We consider a periodic-parabolic eigenvalue problem with a non-negative potential $\lambda m$ vanishing on a non-cylindrical domain $D_m$ satisfying conditions similar to those for the parabolic maximum principle. We show that the limit as $\lambda\t
Externí odkaz:
http://arxiv.org/abs/1512.00485