Improved polynomial decay for unbounded semigroups

Chenxi Deng, Jan Rozendaal, Mark Veraar*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

Abstract

We obtain polynomial decay rates for C0-semigroups, assuming that the resolvent grows polynomially at infinity in the complex right half-plane. Our results do not require the semigroup to be uniformly bounded, and for unbounded semigroups, we improve upon previous results by, for example, removing a logarithmic loss on non-Hilbertian Banach spaces.

Original languageEnglish
Article number99
Number of pages18
JournalJournal of Evolution Equations
Volume24
Issue number4
DOIs
Publication statusPublished - 2024

Bibliographical note

Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care
Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

Keywords

  • 42B37
  • 46B20
  • C-semigroup
  • Fourier multiplier
  • Polynomial stability
  • Primary 47D06
  • Secondary 35B40

Fingerprint

Dive into the research topics of 'Improved polynomial decay for unbounded semigroups'. Together they form a unique fingerprint.

Cite this