Dominik Dier

activity

20132018

most citedDiffusion in networks with time-dependent transmission conditions

15 citations · 33 across the 5 of their papers we have counts for

collaborators

Showing 2016Show all

3 papers · 1 filter

math.FA2016

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…

math.AP2016

Non-Autonomous Forms and Invariance

Dominik Dier

We generalize the Beurling--Deny--Ouhabaz criterion for parabolic evolution equations governed by forms to the non-autonomous, non-homogeneous and semilinear case. Let $V, H$ are H…

math.AP2016★ 4 cited

Non-Autonomous Maximal Regularity in Hilbert Spaces

Dominik Dier, Rico Zacher

We consider non-autonomous evolutionary problems of the form $u^{'} (t) + A (t) u (t) = f (t)$ , $u (0) = u_{0},$ on $L^{2} ([0, T]; H)$ , where $H$ is a Hilbert space. We do not assume that the domain of…