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arXiv · 1601.08012

J.-L. Lions' Problem Concerning Maximal Regularity of Equations Governed by Non-Autonomous Forms

Stephan Fackler
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Abstract

An old problem due to J.-L. Lions going back to the 1960s asks whether the abstract Cauchy problem associated to non-autonomous forms has maximal regularity if the time dependence is merely assumed to be continuous or even measurable. We give a negative answer to this question and discuss the minimal regularity needed for positive results.

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Stephan Fackler. 2016-01-29. J.-L. Lions' Problem Concerning Maximal Regularity of Equations Governed by Non-Autonomous Forms. https://doi.org/10.1016/j.anihpc.2016.05.001

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