J. L. Lions' Problem on Maximal Regularity

2016/12/12 by Arendt, Wolfgang, Dier, Dominik, Fackler, Stephan
#35B65 (Primary) 47A07 (Secondary) #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1612.03676

Abstract

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 showing the limits of the theory.

Related

• Lions' maximal regularity problem with H 1/ 2 -regularity in time
• Maximal L_p-regularity for fractional problem driven by non-autonomous forms
• Maximal regularity for generalized boundary conditions in time
• Maximal regularity for non-autonomous Schroedinger type equations
• Maximal regularity for non-autonomous evolution equations