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arXiv · 2110.02310

Stability of uniformly eventually positive $C_0$-semigroups on $L_p$-spaces

Hendrik Vogt
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Abstract

We give a short and elementary proof of the theorem of Lutz Weis that the growth bound of a positive $C_0$-semigroup on $L_p(\mu)$ equals the spectral bound of its generator. In addition, we generalise the result to the case of uniformly eventually positive semigroups.

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Hendrik Vogt. 2021-10-05. Stability of uniformly eventually positive $C_0$-semigroups on $L_p$-spaces. https://doi.org/10.1090/proc%2F15926

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