Non-uniform stability for bounded semi-groups on Banach spaces

被引：1

作者：

Charles J. K. Batty

Thomas Duyckaerts

机构：

[1] St John’s College,Département de Mathématiques

[2] Université de Cergy-Pontoise,undefined

来源：

Journal of Evolution Equations | 2008年 / 8卷

关键词：

Banach Space; Imaginary Axis; Tauberian Theorem; Holomorphic Extension; Uniform Stability;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let S(t) be a bounded strongly continuous semi-group on a Banach space B and – A be its generator. We say that S(t) is semi-uniformly stable when S(t)(A + 1)−1 tends to 0 in operator norm. This notion of asymptotic stability is stronger than pointwise stability, but strictly weaker than uniform stability, and generalizes the known logarithmic, polynomial and exponential stabilities.

引用

页码：765 / 780

页数：15

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