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.
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The first and third author were supported by the DFG Grant AR 134/4-1 “Regularität evolutionärer Probleme mittels Harmonischer Analyse und Operatortheorie”.
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Arendt, W., Dier, D. & Fackler, S. J. L. Lions’ problem on maximal regularity. Arch. Math. 109, 59–72 (2017). https://doi.org/10.1007/s00013-017-1031-6
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DOI: https://doi.org/10.1007/s00013-017-1031-6