Improved polynomial decay for unbounded semigroups Article Swipe

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Chenxi Deng , Jan Rozendaal , Mark Veraar ·

YOU? · · 2024 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2407.09323

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.

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Mathematics

Discrete Mathematics

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Polynomial Mathematics Pure mathematics Discrete mathematics Computer science Mathematical analysis

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Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2407.09323
PDF: https://arxiv.org/pdf/2407.09323
OA Status: green
Related Works: 10
OpenAlex ID: https://openalex.org/W4400668448

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DOI: https://doi.org/10.48550/arxiv.2407.09323

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Title: Improved polynomial decay for unbounded semigroups

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Type: preprint

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Language: en

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Publication year: 2024

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Publication date: 2024-07-12

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Authors: Chenxi Deng, Jan Rozendaal, Mark Veraar

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Landing page: https://arxiv.org/abs/2407.09323

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Concepts: Polynomial, Mathematics, Pure mathematics, Discrete mathematics, Computer science, Mathematical analysis

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