ENGLISH

The Asymptotic Behaviour of Semigroups of Linear Operators

By Jan van Neerven (auth.)

Book information

Publisher
Birkhäuser Basel
Year
1996
ISBN
3764354550, 9783764354558
DOI
10.1007/978-3-0348-9206-3
LCC
QA329 .N44 1996
Open Library ID
OL605822M
Language
english
Format
PDF
Filesize
1 MB (1403904 bytes)
Series
Operator Theory: Advances and Applications 88
Edition
1
Pages
241\243
Orientation
yes
Scanned
no
Time added
2012-02-04 16:00:00
Operator Theory; Functional Analysis

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.

Similar books