A refinement of Baillon's theorem on maximal regularity

Birgit Jacob; Felix L. Schwenninger; Jens Wintermayr

doi:10.4064/sm200731-20-3

A refinement of Baillon's theorem on maximal regularity

Birgit Jacob
, Felix L. Schwenninger^*
, Jens Wintermayr

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

8 Citations (Scopus)

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Abstract

By Baillon’s theorem, it is known that maximal regularity with respect to the space of continuous functions is rare; it implies that either the semigroup generator involved is a bounded operator or the space considered contains c0. We show that the latter alternative can be excluded under a refined condition resembling maximal regularity with respect to L∞.

Original language	English
Pages (from-to)	141-158
Journal	Studia mathematica
Volume	263
DOIs	https://doi.org/10.4064/sm200731-20-3
Publication status	Published - 2022

Keywords

NLA
Maximal regularity

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10.4064/sm200731-20-3

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A refinement of Baillon's theorem on maximal regularity
Jacob, B., Schwenninger, F. & Wintermayr, J., 2 Aug 2020, ArXiv.org.
Research output: Working paper › Preprint › Academic

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title = "A refinement of Baillon's theorem on maximal regularity",

abstract = "By Baillon{\textquoteright}s theorem, it is known that maximal regularity with respect to the space of continuous functions is rare; it implies that either the semigroup generator involved is a bounded operator or the space considered contains c0. We show that the latter alternative can be excluded under a refined condition resembling maximal regularity with respect to L∞.",

keywords = "NLA, Maximal regularity",

author = "Birgit Jacob and Schwenninger, \{Felix L.\} and Jens Wintermayr",

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AU - Schwenninger, Felix L.

AU - Wintermayr, Jens

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AB - By Baillon’s theorem, it is known that maximal regularity with respect to the space of continuous functions is rare; it implies that either the semigroup generator involved is a bounded operator or the space considered contains c0. We show that the latter alternative can be excluded under a refined condition resembling maximal regularity with respect to L∞.

KW - NLA

KW - Maximal regularity

U2 - 10.4064/sm200731-20-3

DO - 10.4064/sm200731-20-3

M3 - Article

SN - 0039-3223

VL - 263

SP - 141

EP - 158

JO - Studia mathematica

JF - Studia mathematica

ER -

A refinement of Baillon's theorem on maximal regularity

Abstract

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A refinement of Baillon's theorem on maximal regularity

Cite this