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arXiv · 2008.00459

A refinement of Baillon's theorem on maximal regularity

Birgit Jacob·Felix Schwenninger·Jens Wintermayr
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Abstract

By Baillon's result, it is known that maximal regularity with respect to the space of continuous functions is rare; it implies that either the involved semigroup generator is a bounded operator or the considered space contains $c_{0}$. We show that the latter alternative can be excluded under a refined condition resembling maximal regularity with respect to $\mathrm{L}^{\infty}$.

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Birgit Jacob, Felix Schwenninger, Jens Wintermayr. 2020-08-02. A refinement of Baillon's theorem on maximal regularity. https://doi.org/10.4064/sm200731-20-3

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