On the Relative Decay of Unbounded Semigroups on the Domain of the Generator

We study the asymptotics of $C_0$-semigroups on the domain of the generator. In particular, we analyze the behavior of $||T(t)(A-\lambda I)^{-1}||$ as time goes to infinity. Our results extend some existing results to the case when the intersection of the spectrum of the generator with the imaginary...

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Bibliographic Details
Date:2024
Main Authors: Sklyar, Grigory M., Polak, Piotr, Wasilewski, Bartosz
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України 2024
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Online Access:https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/1055
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Journal Title:Journal of Mathematical Physics, Analysis, Geometry

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Journal of Mathematical Physics, Analysis, Geometry