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© 2020

Semigroups of Operators – Theory and Applications

SOTA, Kazimierz Dolny, Poland, September/October 2018

  • Jacek Banasiak
  • Adam Bobrowski
  • Mirosław Lachowicz
  • Yuri Tomilov
Conference proceedings SOTA 2018

Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 325)

Table of contents

  1. Front Matter
    Pages i-xi
  2. 85th Birthday Lecture

    1. Front Matter
      Pages 1-1
  3. Theory

  4. Applications

    1. Front Matter
      Pages 111-111
    2. Agnieszka Bartłomiejczyk, Monika Wrzosek
      Pages 137-146
    3. Evgeniy V. Bychkov
      Pages 205-213
    4. Gisèle Ruiz Goldstein, Jerome A. Goldstein, Davide Guidetti, Silvia Romanelli
      Pages 215-226
    5. Piotr Kalita, Grzegorz Łukaszewicz, Jakub Siemianowski
      Pages 227-250
    6. Adrian Karpowicz, Henryk Leszczyński
      Pages 251-261
    7. Olga G. Kitaeva, Dmitriy E. Shafranov, Georgy A. Sviridyuk
      Pages 279-292

About these proceedings

Introduction

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.


Keywords

functional calculus stochastic Processes evolution equations operator theory Cosine families mathematical biology semigroups of operators proceedings Jan Kisynski's 85th birthday SOTA

Editors and affiliations

  • Jacek Banasiak
    • 1
  • Adam Bobrowski
    • 2
  • Mirosław Lachowicz
    • 3
  • Yuri Tomilov
    • 4
  1. 1.Department of Mathematics and Applied MathematicsUniversity of PretoriaHatfieldSouth Africa
  2. 2.Department of MathematicsLublin University of TechnologyLublinPoland
  3. 3.Institute of Applied Mathematics and MechanicsUniversity of WarsawWarsawPoland
  4. 4.Institute of MathematicsPolish Academy of SciencesWarsawPoland

Bibliographic information

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