The paper derives explicit N^{-κ} error bounds for the mollified empirical measure of moderately interacting particles with common noise, and proves local strong well-posedness of the limiting stochastic Fokker-Planck equation.
Brezis, Functional Analysis, Sobolev Spaces and Partial Differenti al Equations, Springer, 2011
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
background 1
citation-polarity summary
fields
math.PR 1years
2024 1verdicts
CONDITIONAL 1roles
background 1polarities
background 1representative citing papers
citing papers explorer
-
Quantitative particle approximation of nonlinear stochastic Fokker-Planck equations with singular kernel
The paper derives explicit N^{-κ} error bounds for the mollified empirical measure of moderately interacting particles with common noise, and proves local strong well-posedness of the limiting stochastic Fokker-Planck equation.