Decay of operator semigroups, infinite-time admissibility, and related resolvent estimates

We study decay rates for bounded C0-semigroups from the perspective of Lp-infinite-time admissibility and related resolvent estimates. In the Hilbert space setting, polynomial decay of semigroup orbits is characterized by the resolvent behavior in the open right half-plane. A similar characterizatio...

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Veröffentlicht in:	Journal of mathematical analysis and applications 2024-10, Vol.538 (1), p.128445, Article 128445
1. Verfasser:	Wakaiki, Masashi
Format:	Artikel
Sprache:	eng
Schlagworte:	[formula omitted]-semigroup Infinite-dimensional system Infinite-time admissibility Polynomial stability
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Zusammenfassung:	We study decay rates for bounded C0-semigroups from the perspective of Lp-infinite-time admissibility and related resolvent estimates. In the Hilbert space setting, polynomial decay of semigroup orbits is characterized by the resolvent behavior in the open right half-plane. A similar characterization based on Lp-infinite-time admissibility is provided for multiplication semigroups on Lq-spaces with 1≤q≤p
ISSN:	0022-247X 1096-0813
DOI:	10.1016/j.jmaa.2024.128445