One-parameter semigroups for linear evolution equations

Bibliographic Information

One-parameter semigroups for linear evolution equations

Klaus-Jochen Engel, Rainer Nagel ; with contributions by S. Brendle ... [et al.]

(Graduate texts in mathematics, 194)

Springer, c2000

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Note

Bibliography: p. 555-576

Includes index

Description and Table of Contents

Description

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.

Table of Contents

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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