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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.09323 |
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| _version_ | 1866914579669319680 |
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| author | Deng, Chenxi Rozendaal, Jan Veraar, Mark |
| author_facet | Deng, Chenxi Rozendaal, Jan Veraar, Mark |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_09323 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Improved polynomial decay for unbounded semigroups Deng, Chenxi Rozendaal, Jan Veraar, Mark Functional Analysis Analysis of PDEs Primary 47D06. Secondary 35B40, 42B37, 46B20 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. |
| title | Improved polynomial decay for unbounded semigroups |
| topic | Functional Analysis Analysis of PDEs Primary 47D06. Secondary 35B40, 42B37, 46B20 |
| url | https://arxiv.org/abs/2407.09323 |