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arXiv · 2505.12807

A remark on the growth rate of operator semigroups under resolvent bounds

Filippo Dell'Oro
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Abstract

We provide a growth bound for the operator norm of $C_0$-semigroups on Hilbert spaces under a corresponding growth bound on the resolvent of the semigroup generator. For some super-linear resolvent growths, our estimate is sharper than the ones currently available in the literature.

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Filippo Dell'Oro. 2025-05-19. A remark on the growth rate of operator semigroups under resolvent bounds. https://arxiv.org/abs/2505.12807

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