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arXiv · 2608.16217

Unified growth rates for operator semigroups under generalized Kreiss conditions

Filippo Dell'Oro·Alberto Farina·Vittorino Pata
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Abstract

In this note we establish a unified growth rate for the operator norm of $C_0$-semigroups on Hilbert spaces whose generators satisfy the generalized Kreiss resolvent condition. Our bound contains and improves several known estimates in the literature. In particular, it captures the transition between different super-linear growth behaviors.

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Filippo Dell'Oro, Alberto Farina, Vittorino Pata. 2026-08-17. Unified growth rates for operator semigroups under generalized Kreiss conditions. https://arxiv.org/abs/2608.16217

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