Stability estimates for semigroups in the Banach case

IF 1.1 3区数学 Q1 MATHEMATICS

Journal of Evolution Equations Pub Date : 2024-03-15 DOI:10.1007/s00028-024-00958-7

引用次数: 0

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).

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巴拿赫半群的稳定性估计

摘要本文的目的是重温作者与 Helffer 和 Sjöstrand (arXiv:1001.4171v1. 2010; Int Equ Op Theory 93(3:36, 2021) 以前关于半群稳定性的工作。2010；Int Equ Op Theory 93(3):36, 2021）关于半群稳定性的研究，这些研究是根据拉图什金和尤罗夫的论文（Discrete Contin Dyn Syst 33:5203-5216, 2013），通过考虑巴纳赫情况，在希尔伯特情况下证明的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Evolution Equations 数学-数学

CiteScore

2.30

自引率

7.10%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Evolution Equations (JEE) publishes high-quality, peer-reviewed papers on equations dealing with time dependent systems and ranging from abstract theory to concrete applications. Research articles should contain new and important results. Survey articles on recent developments are also considered as important contributions to the field. Particular topics covered by the journal are: Linear and Nonlinear Semigroups Parabolic and Hyperbolic Partial Differential Equations Reaction Diffusion Equations Deterministic and Stochastic Control Systems Transport and Population Equations Volterra Equations Delay Equations Stochastic Processes and Dirichlet Forms Maximal Regularity and Functional Calculi Asymptotics and Qualitative Theory of Linear and Nonlinear Evolution Equations Evolution Equations in Mathematical Physics Elliptic Operators