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Growth order and stability of semigroups and cosine operator functions

✍ Scribed by Sen-Yen Shaw

Book ID: 108178410
Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 175 KB
Volume: 357
Category: Article
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2009.01.049

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## Abstract We investigate polynomial decay of classical solutions of linear evolution equations. For bounded strongly continuous semigroups on a Banach space this property is closely related to polynomial growth estimates of the resolvent of the generator. For systems of commuting normal operators