Project Details
Projekt
Energy solutions, nonlinear analysis and stochastic homogenization (A01)
Subject Area
Mathematics
Term
since 2024
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 516748464
While we now have a good understanding of pathwise local properties of scaling subcritical singular SPDEs, probabilistic aspects and long-term/large-scale behavior remain less clear. Energy solutions offer a probabilistic view for some singular SPDEs, based on martingale arguments and Fock space analysis. Our project will further develop the theory of energy solutions and focus on homogenisation of non-symmetric SDEs. A key objective is to explore dissipative effects of Burgers nonlinearities in Fock space and to analyze the well-posedness and non-Gaussianity of critical and supercritical singular SPDEs.
DFG Programme
CRC/Transregios
Applicant Institution
Technische Universität Berlin
Project Heads
Professor Dr. Felix Otto; Professor Dr. Nicolas Perkowski
