Skip to main content
SpringerLink
Log in
Book cover

Semigroups of Operators -Theory and Applications

Będlewo, Poland, October 2013

  • Conference proceedings
  • © 2015

Overview

Editors:
  1. Jacek Banasiak

    1. School of Mathematics,Statistics and Computer Science, Institute of Mathematics,Technical University of Łódź, University of KwaZulu-Natal, Durban, Poland

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Adam Bobrowski

    1. Lublin University of Technology, Lublin, Poland

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  3. Mirosław Lachowicz

    1. University of Warsaw, Institute of Applied Mathematics and Mechanics, Warsaw, Poland

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • 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)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (21 papers)

  1. Front Matter

    Pages i-xvii
    Download chapter PDF

  3. Applications

    1. Front Matter

      Pages 123-123
      Download chapter PDF

    2. Uniform Stabilization with Arbitrary Decay Rates of the Oseen Equation by Finite-Dimensional Tangential Localized Interior and Boundary Controls

      • Irena Lasiecka, Roberto Triggiani
      Pages 125-154

    3. The Null Volatility Limit of the Chaotic Black-Scholes Equation

      • H. Emamirad, G. R. Goldstein, J. A. Goldstein, P. Rogeon
      Pages 155-164

    4. On Semigroups of Large Particle Systems and Their Scaling Asymptotic Behavior

      • V. I. Gerasimenko, Yu. Yu. Fedchun
      Pages 165-182

    5. The Numerical Algorithms for the Measurement of the Deterministic and Stochastic Signals

      • Alevtina V. Keller, Alexander L. Shestakov, Georgy A. Sviridyuk, Yurii V. Khudyakov
      Pages 183-195

    6. Dynamics of Spatial Logistic Model: Finite Systems

      • Yuri Kozitsky
      Pages 197-211

    7. An Optimal Control of the Solutions of the Initial-Final Problem for Linear Sobolev Type Equations with Strongly Relatively p-Radial Operator

      • Natalia A. Manakova, Georgy A. Sviridyuk
      Pages 213-224

    8. Two Approaches to Infinite Dimensional Extension of Feynman-Kac Theorem

      • Irina V. Melnikova, Valentina S. Parfenenkova
      Pages 225-233

    9. Piecewise Deterministic Markov Processes in Biological Models

      • Ryszard Rudnicki, Marta Tyran-Kamińska
      Pages 235-255

    10. The Nonautonomous Linear Oskolkov Model on a Geometrical Graph: The Stability of Solutions and the Optimal Control Problem

      • Minzilia A. Sagadeeva, Georgy A. Sviridyuk
      Pages 257-271

    11. Dynamical Measurements in the View of the Group Operators Theory

      • Alexander L. Shestakov, Georgy A. Sviridyuk, Yurii V. Khudyakov
      Pages 273-286
Back to top

Keywords

About this book

Many results, both from semi group 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 semi group 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.

Editors and Affiliations

  • School of Mathematics,Statistics and Computer Science, Institute of Mathematics,Technical University of Łódź, University of KwaZulu-Natal, Durban, Poland

    Jacek Banasiak

  • Lublin University of Technology, Lublin, Poland

    Adam Bobrowski

  • University of Warsaw, Institute of Applied Mathematics and Mechanics, Warsaw, Poland

    Mirosław Lachowicz

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation