2022
DOI: 10.48550/arxiv.2206.10426
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Behavior of Kreiss bounded $C_0$-semigroups on a Hilbert space

Abstract: Let 0 < α ≤ 1. We prove that a α-Kreiss bounded C 0 semigroup (T t ) t≥0 on a Hilbert space has asymptotics T t = O t α / log(t) . Then, we give an application to perturbed wave equation.

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