W. Arendt

activity

20102023

most citedMapping theorems for Sobolev-spaces of vector-valued functions

25 citations · 97 across the 23 of their papers we have counts for

collaborators

Showing 2019 · math.APShow all

3 papers · 2 filters

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.AP2019

Operators with continuous kernels

W. Arendt, A. F. M. ter Elst

Let $Ω \subset R^{d}$ be open. We investigate conditions under which an operator $T$ on $L_{2} (Ω)$ has a continuous kernel $K \in C (Ω \times Ω)$ . In the centre…

math.AP2019★ 4 cited

Maximal $L^{2}$ -regularity in nonlinear gradient systems and perturbations of sublinear growth

Wolfgang Arendt, Daniel Hauer

The nonlinear semigroup generated by the subdifferential of a convex lower semicontinuous function $φ$ has a smoothing effect, discovered by H. Brézis, which implies maximal regula…

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

Operators with continuous kernels

Maximal L2-regularity in nonlinear gradient systems and perturbations of sublinear growth

Maximal $L^{2}$ -regularity in nonlinear gradient systems and perturbations of sublinear growth