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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

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Polynomial stability of operator semigro
✍ András Bátkai; Klaus-Jochen Engel; Jan Prüss; Roland Schnaubelt 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 212 KB

## 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