Abstract

The purpose of this paper is to revisit previous works of the author with Helffer and Sjöstrand (arXiv:1001.4171v1. 2010; Int Equ Op Theory 93(3):36, 2021) on the stability of semigroups which were proved in the Hilbert case by considering the Banach case at the light of a paper by Latushkin and Yurov (Discrete Contin Dyn Syst 33:5203–5216, 2013).

中文翻译：

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Banach 情况下半群的稳定性估计

摘要

本文的目的是回顾作者之前与 Helffer 和 Sjöstrand 合作的关于半群稳定性的著作（arXiv:1001.4171v1.2010; Int Equ Op Theory 93(3):36, 2021），并在希尔伯特案例中证明了半群的稳定性根据 Latushkin 和 Yurov 的论文（Discrete Contin Dyn Syst 33:5203–5216, 2013）考虑 Banach 案例。