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 language | English |
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Article number | 99 |
Number of pages | 18 |
Journal | Journal of Evolution Equations |
Volume | 24 |
Issue number | 4 |
DOIs | |
Publication status | Published - 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-careOtherwise 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