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...
Main Authors: | Batty, C, Duyckaerts, T |
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Format: | Journal article |
Language: | English |
Published: |
2008
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