A refinement of Baillon's theorem on maximal regularity

Birgit Jacob; Felix Schwenninger; Jens Wintermayr

doi:10.48550/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 $\mathrm{L}^{\infty}$.

Original language	English
Publisher	ArXiv.org
DOIs	https://doi.org/10.48550/arXiv.2008.00459
Publication status	Published - 2 Aug 2020

Keywords

math.FA
math.AP
47D06, 35K90, 47B37

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10.48550/arXiv.2008.00459

2008.00459v2Final published version, 288 KB

1 Article

A refinement of Baillon's theorem on maximal regularity
Jacob, B., Schwenninger, F. L. & Wintermayr, J., 2022, In: Studia mathematica. 263, p. 141-158
Research output: Contribution to journal › Article › Academic › peer-review

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AB - 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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A refinement of Baillon's theorem on maximal regularity

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A refinement of Baillon's theorem on maximal regularity

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