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Stochastic Partial Differential Equations and Related Fields

In Honor of Michael Röckner SPDERF, Bielefeld, Germany, October 10 -14, 2016

  • Andreas Eberle
  • Martin Grothaus
  • Walter Hoh
  • Moritz Kassmann
  • Wilhelm Stannat
  • Gerald Trutnau
Conference proceedings SPDERF 2016

Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 229)

Table of contents

  1. Front Matter
    Pages i-xx
  2. Longer Contributions

    1. Front Matter
      Pages 1-1
    2. Vladimir I. Bogachev
      Pages 3-24
    3. Massimiliano Gubinelli, Nicolas Perkowski
      Pages 69-99
    4. Giuseppe Da Prato
      Pages 101-129
  3. Stochastic Partial Differential Equations and Regularity Structures

    1. Front Matter
      Pages 131-131
    2. Zdzisław Brzeźniak, Gaurav Dhariwal, Javed Hussain, Mauro Mariani
      Pages 133-146
    3. Petr Čoupek, Bohdan Maslowski, Jana Šnupárková
      Pages 147-158
    4. Clément Denis, Tadahisa Funaki, Satoshi Yokoyama
      Pages 177-200
    5. Wei Yan, Jinqiao Duan
      Pages 263-269
    6. Lorenzo Zambotti
      Pages 271-277
  4. Stochastic Analysis Including Geometric Aspects

  5. Dirichlet Forms, Markov Processes and Potential Theory

  6. Applications Including Mathematical Physics

    1. Front Matter
      Pages 501-501
    2. Joe P. Chen, Michael Hinz, Alexander Teplyaev
      Pages 503-513
    3. Massimiliano Gubinelli, Nicolas Perkowski
      Pages 515-527
    4. Xing Liu, Bogusław Zegarliński
      Pages 539-547
  7. Back Matter
    Pages 573-574

About these proceedings

Introduction

This Festschrift contains six research surveys and thirty-three shorter contributions by participants of the conference ''Stochastic Partial Differential Equations and Related Fields'' hosted by the Faculty of Mathematics at Bielefeld University, October 10–14, 2016. The conference, attended by more than 140 participants, including PostDocs and PhD students, was held both to honor Michael Röckner's contributions to the field on the occasion of his 60th birthday and to bring together leading scientists and young researchers to present the current state of the art and promising future developments.

Each article introduces a well-described field related to Stochastic Partial Differential Equations and Stochastic Analysis in general. In particular, the longer surveys focus on Dirichlet forms and Potential theory, the analysis of Kolmogorov operators, Fokker–Planck equations in Hilbert spaces, the theory of variational solutions to stochastic partial differential equations, singular stochastic partial differential equations and their applications in mathematical physics, as well as on the theory of regularity structures and paracontrolled distributions.

The numerous research surveys make the volume especially useful for graduate students and researchers who wish to start work in the above-mentioned areas, or who want to be informed about the current state of the art.

Keywords

60H15, 60H30, 35R60, 37L05, 35Q82 singular stochastic partial differential equations Markov processes and applications to diffusion processes partial differential operators with randomness applications of SPDE in mathematical physics stochastic differential equations diffusion processes on manifolds Fokker-Planck equations in Hilbert spaces Kolmogorov operators Dirichlet spaces and potential theory rough paths regularity structures and paracontrolled distributions numerical analysis of stochastic partial differential equations Michael Röckner Festschrift Proceedings

Editors and affiliations

  • Andreas Eberle
    • 1
  • Martin Grothaus
    • 2
  • Walter Hoh
    • 3
  • Moritz Kassmann
    • 4
  • Wilhelm Stannat
    • 5
  • Gerald Trutnau
    • 6
  1. 1.Institute for Applied MathematicsUniversity of BonnBonnGermany
  2. 2.Fachbereich MathematikTechnische Universität KaiserslauternKaiserslauternGermany
  3. 3.Faculty of MathematicsBielefeld UniversityBielefeldGermany
  4. 4.Faculty of MathematicsBielefeld UniversityBielefeldGermany
  5. 5.Institut für MathematikTechnische Universität BerlinBerlinGermany
  6. 6.Department of Mathematical Sciences and Research Institute of MathematicsSeoul National UniversitySeoulKorea (Republic of)

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-74929-7
  • Copyright Information Springer International Publishing AG, part of Springer Nature 2018
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-74928-0
  • Online ISBN 978-3-319-74929-7
  • Series Print ISSN 2194-1009
  • Series Online ISSN 2194-1017
  • Buy this book on publisher's site
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