English

Mean field singular stochastic PDEs

Probability 2026-04-15 v2 Analysis of PDEs

Abstract

We study some systems of interacting fields whose evolution is given by some singular stochastic partial differential equations of mean field type. We provide a robust setting for their study and prove a well-posedness result and a propagation of chaos result.

Keywords

Cite

@article{arxiv.2305.02603,
  title  = {Mean field singular stochastic PDEs},
  author = {I. Bailleul and N. Moench},
  journal= {arXiv preprint arXiv:2305.02603},
  year   = {2026}
}

Comments

Presentation and clarity improved. Some material about non-explosion was added. 43 pages

R2 v1 2026-06-28T10:25:20.758Z