Stochastic partial differential equations with singular noise (B02)

• Subject Area: Mathematics
• Term: from 2017 to 2021
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 317210226

This project consists of two parts:(I) Strong approach to stochastic partial differential equations with singular noise: We plan to study global well-posedness, properties and approximations of stochastic partial differential equations with singular noise, based on the theory of regularity structures proposed by Hairer and on the paracontrolled distributions method introduced by Gubinelli, Imkeller and Perkowski.(II) Weak approach to stochastic partial differential equations with singular noise: The aim here is to construct and analyze weak solutions to singular stochastic partial differential equations by using both Dirichlet form theory and the energy solution method recently introduced by Gonçalves and Jara.

• 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. Michael Röckner, from 3/2020 until 6/2021; Dr. Rongchan Zhu; Dr. Xiangchan Zhu