A Short Course on Operator Semigroups

Rainer Nagel

ISBN 10: 1441921745 / ISBN 13: 9781441921741

Verlag: Springer New York Nov 2010, 2010

Beschreibung

This item is printed on demand - it takes 3-4 days longer - Neuware -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. 260 pp. Englisch.

Bestandsnummer des Verkäufers 9781441921741

Bibliografische Details

• Titel: A Short Course on Operator Semigroups
• Verlag: Springer New York Nov 2010
• Erscheinungsjahr: 2010
• Sprache: Englisch
• ISBN-10: 1441921745
• ISBN-13: 9781441921741
• Einband: Taschenbuch
• Zustand: Neu

Über diesen Titel

Inhaltsangabe

The book offers a direct and up-to-date introduction to the theory of one-parameter semigroups of linear operators on Banach spaces. The book is intended for students and researchers who want to become acquainted with the concept of semigroups.

Von der hinteren Coverseite

<p>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.</p>