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An Integrability Condition on the Resolvent for Hyperbolicity of the Semigroup

โœ Scribed by M.A. Kaashoek; S.M.V. Lunel


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
866 KB
Volume
112
Category
Article
ISSN
0022-0396

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โœฆ Synopsis


In this paper, we present necessary and sufficient conditions on the. resolvent of the generator of a strongly continuous semigroup in order that the corresponding semigroup is hyperbolic. The proof is based on a new characterization of the growth bound in terms of the resolvent. As an application, we discuss three examples. 1994 Academic Press. Inc.


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