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A Short Course on Operator Semigroups
Hardcover
Series: Universitext
ISBN13: 9780387313412
Publisher: Springer
Published: Jun 6 2006
Pages: 248
Weight: 1.19
Height: 0.69 Width: 6.35 Depth: 9.27
Language: English
The book offers a direct and up-to-date introduction to the theory of one-parameter semigroups of linear operators on Banach spaces. It contains the fundamental results of the theory such as the Hille-Yoshida generation theorem, the bounded perturbation theorem, and the Trotter-Kato approximation theorem. It also treats the spectral theory of semigroups and its consequences for the qualitative behavior. The book is intended for students and researchers who want to become acquainted with the concept of semigroups in order to work with it in fields like partial and functional differential equations, stochastic processes, infinite dimensional control theory, or dynamical systems coming from physics or biology. Exercises are provided at the end of the chapters.
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