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A short course on operator semigroups

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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.

Author(s): Klaus-Jochen Engel, Rainer Nagel
Series: Universitext
Edition: 1
Publisher: Springer
Year: 2006

Language: English
Pages: 256
City: New York, N.Y

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