Title: One-parameter semigroups for linear evolution equations /
Authors: Engel, Klaus-Jochen.; Nagel, R.
Publisher: Springer,
Year: 2000
Subjects: Semigroups of operators.; Evolution equations.; Mathematics.; Global analysis (Mathematics).
Abstract: This book gives an up-to-date account of the theory of strongly continuous one-parameter semigroups of linear operators. It includes a systematic discussion of the spectral theory and the long-term behavior of such semigroups. A special feature of the text is an unusually wide range of applications, e.g., to ordinary and partial differential operators, delay and Volterra equations and to control theory, and an emphasis on philosophical motivation and the historical background. The book is written for students, but should also be of value for researchers interested in this field.
Contents: Linear Dynamical Systems -- Semigroups, Generators and Resolvents -- Perturbation and Approximation of Semigroups -- Spectral Theory for Semigroups and Generators -- Asymptotics of Semigroups -- Semigroups Everywhere -- History of the Exponential Function -- Appendices.