A Short Course on Operator Semigroups

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Sprache: Englisch

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Beschreibung

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, stochastic processes, infinite dimensional control theory, or dynamical systems coming from physics or biology. Exercises are provided at the end of the chapters.

Zusammenfassung

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2010
Fachbereich:	Analysis
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Universitext
Inhalt:	x 248 S.
ISBN-13:	9781441921741
ISBN-10:	1441921745
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Engel, Klaus-Jochen Nagel, Rainer
Auflage:	Softcover reprint of hardcover 1st edition 2006
Hersteller:	Springer Springer US, New York, N.Y. Universitext
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 15 mm
Von/Mit:	Klaus-Jochen Engel (u. a.)
Erscheinungsdatum:	23.11.2010
Gewicht:	0,4 kg