One-Parameter Semigroups for Linear Evolution Equations
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ISBN-13:
9781475774092
Veröffentl:
2013
Einband:
Paperback
Erscheinungsdatum:
17.03.2013
Seiten:
616
Autor:
Rainer Nagel
Gewicht:
920 g
Format:
235x155x33 mm
Serie:
194, Graduate Texts in Mathematics
Sprache:
Englisch
Beschreibung:
This book explores the theory of strongly continuous one-parameter semigroups of linear operators. A special feature of the text is an unusually wide range of applications such as to ordinary and partial differential operators, to delay and Volterra equations, and to control theory. Also, the book places an emphasis on philosophical motivation and the historical background.
This book gives an up-to-date account of the theory of one-parameter semigroups of linear evolution equations. It contains a systematic discussion of the spectral theory and the qualitative behavior of semigroups as well as many applicaions to partial differential equations, functional differential eqyations and Volterra equations. This book is written for students and researchers interested in the theory of strongly continuous semigroups and in the applications of semigroup theory.
Linear Dynamical Systems.- Semigroups, Generators, and Resolvents.- Perturbation and Approximation of Semigroups.- Spectral Theory for Semigroups and Generators.- Asymptotics of Semigroups.- Semigroups Everywhere.- A Brief History of the Exponential Function.
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