A short course on operator semigroups

Klaus-Jochen Engel, Rainer Nagel0387313419, 9780387313412

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.

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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