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Semigroups of Operators -Theory and Applications

Będlewo, Poland, October 2013

  • Jacek Banasiak
  • Adam Bobrowski
  • Mirosław Lachowicz

Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 113)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Theory

  3. Applications

    1. Front Matter
      Pages 123-123
    2. H. Emamirad, G. R. Goldstein, J. A. Goldstein, P. Rogeon
      Pages 155-164
    3. Alevtina V. Keller, Alexander L. Shestakov, Georgy A. Sviridyuk, Yurii V. Khudyakov
      Pages 183-195
    4. Irina V. Melnikova, Valentina S. Parfenenkova
      Pages 225-233
    5. Ryszard Rudnicki, Marta Tyran-Kamińska
      Pages 235-255
    6. Alexander L. Shestakov, Georgy A. Sviridyuk, Yurii V. Khudyakov
      Pages 273-286
    7. Sophiya A. Zagrebina, Ekaterina A. Soldatova, Georgy A. Sviridyuk
      Pages 317-325
    8. Alyona A. Zamyshlyaeva, Georgy A. Sviridyuk
      Pages 327-337

About these proceedings

Introduction

Many results, both from semigroup theory itself and from the applied sciences, are phrased in discipline-specific languages and hence are hardly known to a broader community. This volume contains a selection of lectures presented at a conference that was organised as a forum for all mathematicians using semigroup theory to learn what is happening outside their own field of research. The collection will help to establish a number of new links between various sub-disciplines of semigroup theory, stochastic processes, differential equations and the applied fields.

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.

Keywords

34-XX, 45-XX, 46-XX, 47-XX, 49-XX, 60-XX, 92-XX Evolution equations Operator theory Semigroup of operators Stochastic processes

Editors and affiliations

  • Jacek Banasiak
    • 1
  • Adam Bobrowski
    • 2
  • Mirosław Lachowicz
    • 3
  1. 1.School of Mathematics,Statistics and Computer Science, Institute of Mathematics,Technical University of ŁódźUniversity of KwaZulu-NatalDurbanPoland
  2. 2.Lublin University of TechnologyLublinPoland
  3. 3.University of WarsawInstitute of Applied Mathematics and MechanicsWarsawPoland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-12145-1
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-12144-4
  • Online ISBN 978-3-319-12145-1
  • Series Print ISSN 2194-1009
  • Series Online ISSN 2194-1017
  • Buy this book on publisher's site