4 papers
Variational solutions of the Dirichlet problem, Lebesgue's cusp and non-local properties
Wolfgang Arendt, Daniel Daners, Manfred Sauter
A recent result from [AtES24] allows one to define variational solutions of the Dirichlet problem for general continuous boundary data. We establish basic properties of this notion…
Positivity properties of the Dirichlet-to-Neumann operator on graphs
Daniel Daners, Jochen Glück, James B. Kennedy
We explore positivity properties of the semigroup generated by the negative of the Dirichlet-to-Neumann operator with real potential , defined on a subset of the vertices of a…
Semi-linear evolution equations via positive semigroups
Wolfgang Arendt, Daniel Daners
We study semi-linear evolutionary problems where the linear part is the generator of a positive -semigroup. The non-linear part is assumed to be quasi-increasing. Given an ini…
Logistic growth in seasonally changing environments
Daniel Daners, 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. Worki…