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

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 stab...

Full description

Bibliographic Details
Main Authors: Batty, C, Duyckaerts, T
Format: Journal article
Language:English
Published: 2008