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25 April 2024

» arxiv » 1601.8012

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J.-L. Lions' Problem Concerning Maximal Regularity of Equations Governed by Non-Autonomous Forms
Stephan Fackler ;
Date:	29 Jan 2016
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.
Source:	arXiv, 1601.8012
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