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This title in other editions

A Short Course on Operator Semigroups (Universitext)

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Synopses & Reviews

Publisher Comments:

The book gives a streamlined and systematic introduction to strongly continuous semigroups of bounded linear operators on Banach spaces. It treats the fundamental Hille-Yosida generation theorem as well as perturbation and approximation theorems for generators and semigroups. The special feature is its treatment of spectral theory leading to a detailed qualitative theory for these semigroups. This theory provides a very efficient tool for the study of linear evolution equations arising as partial differential equations, functional differential equations, stochastic differential equations, and others. Therefore, the book is intended for those wanting to learn and apply functional analytic methods to linear time dependent problems arising in theoretical and numerical analysis, stochastics, physics, biology, and other sciences. It should be of interest to graduate students and researchers in these fields.

Synopsis:

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.

Table of Contents

Preface.- Introduction.- Semigroups, Generators, and Resolvents.- Perturbation of Semigroups.- Approximation of Semigroups.- Spectral Theory and Asymptotics for Semigroups.- Positive Semigroups.- Appendix.- References.- Selected References to Recent Research.- List of Symbols and Abbreviations.- Index.

Product Details

ISBN:
9780387313412
Author:
Engel, Klaus-jochen
Publisher:
Springer
Author:
Engel, Klaus-Jochen
Author:
Nagel, Rainer
Subject:
Mathematical Analysis
Subject:
Semigroups of operators
Subject:
Linear operators
Subject:
Operator theory
Subject:
Banach spaces
Subject:
Analysis <P>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 pe
Subject:
Mathematics-Analysis General
Subject:
Functional Analysis
Subject:
Analysis
Copyright:
Edition Description:
Book
Series:
Universitext
Publication Date:
20060606
Binding:
HARDCOVER
Grade Level:
SG
Language:
English
Illustrations:
Y
Pages:
259
Dimensions:
235 x 155 mm 1200 gr

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A Short Course on Operator Semigroups (Universitext) New Hardcover
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Product details 259 pages Springer - English 9780387313412 Reviews:
"Synopsis" by , 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.
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