J. L. Lions' Problem on Maximal Regularity

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.

arXiv comment11 pages, 1 figure

References in corpus (4)

• J.-L. Lions' Problem Concerning Maximal Regularity of Equations Governed by Non-Autonomous Forms
• Non-Autonomous Maximal $L^p$-Regularity under Fractional Sobolev Regularity in Time
• Non-autonomous right and left multiplicative perturbations and maximal regularity
• Non-Autonomous Maximal Regularity in Hilbert Spaces