Improved polynomial decay for unbounded semigroups
| Autor: | Deng, Chenxi, Rozendaal, Jan, Veraar, Mark |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | We obtain polynomial decay rates for $C_{0}$-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. Comment: accepted for publication in Journal of Evolution Equations |
| Databáze: | arXiv |
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