A Short Course on Operator Semigroups / Edition 1

A Short Course on Operator Semigroups / Edition 1

by Klaus-Jochen Engel, Rainer Nagel
     
 

ISBN-10: 0387313419

ISBN-13: 9780387313412

Pub. Date: 06/06/2006

Publisher: Springer New York

The book offers a direct and up-to-date introduction to the theory of one-parameter semigroups of linear operators on Banach spaces. It contains the fundamental results of the theory such as the Hille-Yoshida generation theorem, the bounded perturbation theorem, and the Trotter-Kato approximation theorem. It also treats the spectral theory of semigroups and its

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Overview

The book offers a direct and up-to-date introduction to the theory of one-parameter semigroups of linear operators on Banach spaces. It contains the fundamental results of the theory such as the Hille-Yoshida generation theorem, the bounded perturbation theorem, and the Trotter-Kato approximation theorem. It also treats the spectral theory of semigroups and its consequences for the qualitative behavior. The book is intended for students and researchers who want to become acquainted with the concept of semigroups in order to work with it in fields like partial and functional differential equations. Exercises are provided at the end of the chapters.

Product Details

ISBN-13:
9780387313412
Publisher:
Springer New York
Publication date:
06/06/2006
Series:
Universitext Series
Edition description:
2006
Pages:
248
Product dimensions:
9.21(w) x 6.14(h) x 0.63(d)

Table of Contents

IIntroduction1
IISemigroups, generators, and resolvents34
IIIPerturbation of semigroups115
IVApproximation of semigroups136
VSpectral theory and asymptotics for semigroups156
VIPositive semigroups205
App. AA reminder of some functional analysis and operator theory222

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