Description
Springer One-Parameter Semigroups For Linear Evolution Equations 1999 Edition by Klaus-Jochen Engel Rainer Nagel
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.