A short course on operator semigroups

✍ Scribed by Klaus-Jochen Engel, Rainer Nagel

Publisher: Springer
Year: 2006
Tongue: English
Leaves: 256
Series: Universitext
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

The book gives a streamlined and systematic introduction to strongly continuous semigroups of bounded linear operators on Banach space. It treats the fundamental Hille-Yosida generation theorem as well as perturbation and approximation theorems for generators and semigroups. The special feature is its treatment of spectral theory leading to a detailed qualitative theory for these semigroups.

✦ Table of Contents

front-matter......Page 1
1Introduction......Page 9
2Semigroups, Generators, and Resolvents......Page 42
3Perturbation of Semigroups......Page 123
4Approximation of Semigroups......Page 144
5Spectral Theory and Asymptotics for Semigroups......Page 164
6Positive Semigroups......Page 213
back-matter......Page 230

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