25 citations · 97 across the 23 of their papers we have counts for
4 papers · 1 filter
J. L. Lions' Problem on Maximal Regularity
Wolfgang Arendt, Dominik Dier, Stephan Fackler
This is a survey on recent progress concerning maximal regularity of non-autonomous equations governed by time-dependent forms on a Hilbert space. It also contains two new results…
Mapping theorems for Sobolev-spaces of vector-valued functions
Wolfgang Arendt, Marcel Kreuter
We consider Sobolev spaces with values in Banach spaces as they are frequently useful in applied problems. Given two Banach spaces and , each Lipschitz continuous m…
Diffusion with nonlocal Robin boundary conditions
Wolfgang Arendt, Stefan Kunkel, Markus Kunze
We investigate a second order elliptic differential operator on a bounded, open set with Lipschitz boundary subject to a nonlocal boundary condi…
Fractional powers of sectorial operators via the Dirichlet-to-Neumann operator
W. Arendt, A. F. M. ter Elst, M. Warma
In the very influential paper \cite{CS07} Caffarelli and Silvestre studied regularity of , , by identifying fractional powers with a certain Dirichlet-to-Neumann ope…