Overview
- Presents cutting edge results and up-to-date applications in semigroup theory
- Includes contributions on stochastic control in biological problems and degenerate semigroups for ill-posed problems
- Bridges gaps between theory and applications
Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 325)
Included in the following conference series:
Conference proceedings info: SOTA 2018.
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About this book
This book features selected and peer-reviewed lectures presented at the 3rd Semigroups of Operators: Theory and Applications Conference, held in Kazimierz Dolny, Poland, in October 2018 to mark the 85th birthday of Jan Kisyński. Held every five years, the conference offers a forum for mathematicians using semigroup theory to discover what is happening outside their particular field of research and helps establish new links between various sub-disciplines of semigroup theory, stochastic processes, differential equations and the applied fields. The book is intended for researchers, postgraduate and senior students working in operator theory, partial differential equations, probability and stochastic processes, analytical methods in biology and other natural sciences, optimisation and optimal control.
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 Hille and Yosida’s fundamental generation theorem dates back to the forties. The theory was originally designed as a universal language for partial differential equations and stochastic processes but, at the same time, it started to become an independent branch of operator theory. Today, it still has the same distinctive character: 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 being influenced by questions from PDE’s and stochastic processes as well as from applied sciences such as mathematical biology and optimal control and, as a result, it continually gathers new momentum. However, many results, both from semigroup theory itself and the applied sciences, are phrased in discipline-specific languages and are hardly known to the broader community.
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Table of contents (24 papers)
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Front Matter
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85th Birthday Lecture
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Front Matter
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Theory
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Front Matter
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Applications
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Front Matter
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Other volumes
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Semigroups of Operators – Theory and Applications
Editors and Affiliations
Bibliographic Information
Book Title: Semigroups of Operators – Theory and Applications
Book Subtitle: SOTA, Kazimierz Dolny, Poland, September/October 2018
Editors: Jacek Banasiak, Adam Bobrowski, Mirosław Lachowicz, Yuri Tomilov
Series Title: Springer Proceedings in Mathematics & Statistics
DOI: https://doi.org/10.1007/978-3-030-46079-2
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2020
Hardcover ISBN: 978-3-030-46078-5Published: 13 June 2020
Softcover ISBN: 978-3-030-46081-5Published: 13 June 2021
eBook ISBN: 978-3-030-46079-2Published: 12 June 2020
Series ISSN: 2194-1009
Series E-ISSN: 2194-1017
Edition Number: 1
Number of Pages: XI, 446
Number of Illustrations: 39 b/w illustrations, 6 illustrations in colour
Topics: Analysis, Applications of Mathematics, Probability Theory and Stochastic Processes, Mathematical and Computational Biology