The Asymptotic Behaviour of Semigroups of Linear Operators
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Author
Publication
2011-10-01 - Birkhäuser Basel
Word Count
64,000 words, Guess
Page Count
256 pages
Physical Format
Paperback
Identifiers
- Open LibraryOL28107610M
- ISBN-139783034899444
- ISBN-103034899440
Classifications
- LCCQA329-329.9QA319-329
Description
This book presents a systematic account of the theory of asymptotic behaviour of semigroups of linear operators acting in a Banach space. The focus is on the relationship between asymptotic behaviour of the semigroup and spectral properties of its infinitesimal generator. The most recent developments in the field are included, such as the Arendt-Batty-Lyubich-Vu theorem, the spectral mapp- ing theorem of Latushkin and Montgomery-Smith, Weis's theorem on stability of positive semigroup in Lp-spaces, the stability theorem for semigroups whose resolvent is bounded in a half-plane, and a systematic theory of individual stability. Addressed to researchers and graduate students with interest in the fields of operator semigroups and evolution equations, this book is self-contained and provides complete proofs.
Subjects
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