One-Parameter Semigroups for Linear Evolution Equations

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Springer Science & Business Media, Oct 29, 1999 - Mathematics - 589 pages

This book explores the theory of strongly continuous one-parameter semigroups of linear operators. A special feature of the text is an unusually wide range of applications such as to ordinary and partial differential operators, to delay and Volterra equations, and to control theory. Also, the book places an emphasis on philosophical motivation and the historical background.

 

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Contents

III
4
Strongly Continuous Semigroups
36
Notes
46
Semigroups Everywhere
347
A Brief History of the Exponential Function
497
Appendix
509
Epilogue
531
References
555
List of Symbols and Abbreviations
577
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