A Short Course on Operator Semigroups / Edition 1

A Short Course on Operator Semigroups / Edition 1

by Klaus-Jochen Engel, Rainer Nagel
     
 

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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

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

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.

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