Overview
- Includes cutting edge results in semi group theory and up-to-date applications of semigroups
- Treats stochastic control in biological problems
- Bridges gaps between theory and applications
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 113)
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Table of contents (21 papers)
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Theory
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Applications
Keywords
About this book
The theory of semigroups of operators is a well-developed branch of functional analysis. Its foundations were laid at the beginning of the 20th century, while the fundamental generation theorem of Hille and Yosida dates back to the forties. The theory was, from the very beginning, designed as a universal language for partial differential equations and stochastic processes, but at the same time it started to live as an independent branch of operator theory. Nowadays, it still has the same distinctive flavour: it develops rapidly by posing new ‘internal’ questions and in answering them, discovering new methods that can be used in applications. On the other hand, it is influenced by questions from PDEs and stochastic processes as well as from applied sciences such as mathematical biology and optimal control, and thus it continually gathers a new momentum. Researchers and postgraduate students working in operator theory, partial differential equations, probability and stochastic processes, analytical methods in biology and other natural sciences, optimization and optimal control will find this volume useful.
Editors and Affiliations
Bibliographic Information
Book Title: Semigroups of Operators -Theory and Applications
Book Subtitle: Będlewo, Poland, October 2013
Editors: Jacek Banasiak, Adam Bobrowski, Mirosław Lachowicz
Series Title: Springer Proceedings in Mathematics & Statistics
DOI: https://doi.org/10.1007/978-3-319-12145-1
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2015
Hardcover ISBN: 978-3-319-12144-4Published: 05 December 2014
Softcover ISBN: 978-3-319-38373-6Published: 10 September 2016
eBook ISBN: 978-3-319-12145-1Published: 20 November 2014
Series ISSN: 2194-1009
Series E-ISSN: 2194-1017
Edition Number: 1
Number of Pages: XVII, 337
Number of Illustrations: 12 b/w illustrations
Topics: Operator Theory, Probability Theory and Stochastic Processes, Mathematical Applications in the Physical Sciences, Ordinary Differential Equations, Functional Analysis, Integral Equations