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...

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Detalles Bibliográficos
Autores principales: Batty, C, Duyckaerts, T
Formato: Journal article
Lenguaje:English
Publicado: 2008