New trends in stochastic partial differential equations (B01)

• Subject Area: Mathematics
• Term: since 2017
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 317210226

The research in Project B1 is structured in the following five parts: (I) Path distribution dependent stochastic partial differential equations (SPDEs) and probabilistic representation for stochastic nonlinear Fokker–Planck–Kolmogorov equations (FPKEs); (II) Nonuniqueness versus restricted uniqueness in law and pathwise uniqueness via low order regularity for Kolmogorov operators of SPDEs; (III) Singular SPDEs; (IV) Rescaling transformation and optimal control for SPDEs and stochastic variational inequalities (SVIs); (V) Supercritical stochastic differential equations (SDEs).

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1283: Taming uncertainty and profiting from randomness and low regularity in analysis, stochastics and their applications
• International Connection: China
• Applicant Institution: Universität Bielefeld
• Project Heads: Professor Dr. Benjamin Gess, until 6/2021; Professor Dr. Michael Röckner; Professor Dr. Xicheng Zhang; Dr. Xiangchan Zhu; Dr. Rongchan Zhu