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This title in other editions

A Short Course on Operator Semigroups (Universitext)

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A Short Course on Operator Semigroups (Universitext) Cover

 

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:
9781441921741
Author:
Engel, Klaus-jochen
Publisher:
Springer
Author:
Engel, Klaus-Jochen
Author:
Nagel, Rainer
Subject:
Mathematical Analysis
Subject:
Operator theory
Subject:
Analysis
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
Copyright:
Edition Description:
Softcover reprint of hardcover 1st ed. 2006
Series:
Universitext
Publication Date:
20101123
Binding:
TRADE PAPER
Language:
English
Pages:
259
Dimensions:
235 x 155 mm 399 gr

Related Subjects

Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Functional Analysis

A Short Course on Operator Semigroups (Universitext) New Trade Paper
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$82.75 In Stock
Product details 259 pages Not Avail - English 9781441921741 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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