Mean field singular stochastic partial differential equations

Key Points

• The aim is to analyze systems of interacting fields that follow singular stochastic partial differential equations.
• Develop a robust framework for the analysis of these singular stochastic partial differential equations.
• Prove a well-posedness result ensuring solutions exist and are unique.
• Demonstrate a propagation of chaos result indicating independence of distant fields over time.
• Well-posedness established for the considered singular stochastic partial differential equations.
• Propagation of chaos shows independence among interacting fields under specified conditions.