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arXiv · 1802.00335

A note on perturbations of $C_0$-semigroups

Christian Seifert·Hendrik Vogt·Marcus Waurick
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Abstract

This article deals with a variation of constants type inequality for semigroups acting consistently on a scale of Banach spaces. This inequality can be characterized by a corresponding (easy to verify) inequality for their generators. The results have applications to heat kernel estimates and provide a unified perspective to estimates of these type. Moreover, bi-continuous semigroups can be treated as well.

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Christian Seifert, Hendrik Vogt, Marcus Waurick. 2018-02-01. A note on perturbations of $C_0$-semigroups. https://arxiv.org/abs/1802.00335

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