29 citations · 109 across the 14 of their papers we have counts for
5 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…
Non-Autonomous Maximal -Regularity under Fractional Sobolev Regularity in Time
Stephan Fackler
We prove non-autonomous maximal -regularity results on UMD spaces replacing the common Hölder assumption by a weaker fractional Sobolev regularity in time. This generalizes re…
Non-Autonomous Maximal Regularity for Forms Given by Elliptic Operators of Bounded Variation
Stephan Fackler
We show maximal -regularity for non-autonomous Cauchy problems provided the trace spaces are stable in some parameterized sense and the time dependence is of bounded variation…
A Short Counterexample to the Inverse Generator Problem on non-Hilbertian Reflexive -spaces
Stephan Fackler
We show that the bilateral shift group on for provides a counterexample to the inverse generator problem.
J.-L. Lions' Problem Concerning Maximal Regularity of Equations Governed by Non-Autonomous Forms
Stephan Fackler
An old problem due to J.-L. Lions going back to the 1960s asks whether the abstract Cauchy problem associated to non-autonomous forms has maximal regularity if the time dependence…