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J. L. Lions’ problem on maximal regularity

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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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Authors and Affiliations

  1. Institute of Applied Analysis, Ulm University, Helmholtzstr. 18, 89069, Ulm, Germany

    Wolfgang Arendt, Dominik Dier & Stephan Fackler

Authors
  1. Wolfgang Arendt
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  2. Dominik Dier
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  3. Stephan Fackler
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Corresponding author

Correspondence to Stephan Fackler.

Additional information

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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