Stochastic Partial Differential Equations and Related Fields

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.

• 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

• Institute for Applied Mathematics, University of Bonn, Bonn, Germany

  Andreas Eberle

• Fachbereich Mathematik, Technische Universität Kaiserslautern, Kaiserslautern, Germany

  Martin Grothaus

• Faculty of Mathematics, Bielefeld University, Bielefeld, Germany

  Walter Hoh, Moritz Kassmann

• Institut für Mathematik, Technische Universität Berlin, Berlin, Germany

  Wilhelm Stannat

• Department of Mathematical Sciences and Research Institute of Mathematics, Seoul National University, Seoul, Korea (Republic of)

  Gerald Trutnau

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