Overview
- Introduces a well-described research field related to Stochastic Partial Differential Equations and Stochastic Analysis
- Includes a large amount of research surveys
- Presents the current state of the art and promising future developments
Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 229)
Included in the following conference series:
Conference proceedings info: SPDERF 2016.
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About this book
This Festschrift contains five research surveys and thirty-four 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.
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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
- partial differential equations
Table of contents (39 papers)
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Longer Contributions
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Stochastic Partial Differential Equations and Regularity Structures
Other volumes
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Stochastic Partial Differential Equations and Related Fields
Editors and Affiliations
Bibliographic Information
Book Title: Stochastic Partial Differential Equations and Related Fields
Book Subtitle: In Honor of Michael Röckner SPDERF, Bielefeld, Germany, October 10 -14, 2016
Editors: Andreas Eberle, Martin Grothaus, Walter Hoh, Moritz Kassmann, Wilhelm Stannat, Gerald Trutnau
Series Title: Springer Proceedings in Mathematics & Statistics
DOI: https://doi.org/10.1007/978-3-319-74929-7
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2018
Hardcover ISBN: 978-3-319-74928-0Published: 04 July 2018
Softcover ISBN: 978-3-030-09107-1Published: 22 December 2018
eBook ISBN: 978-3-319-74929-7Published: 03 July 2018
Series ISSN: 2194-1009
Series E-ISSN: 2194-1017
Edition Number: 1
Number of Pages: XX, 574
Number of Illustrations: 5 b/w illustrations
Topics: Probability Theory and Stochastic Processes, Partial Differential Equations, Mathematical Applications in the Physical Sciences