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Public Documents
1
WELL-POSEDNESS OF DIFFUSION-AGGREGATION EQUATIONS WITH BOUNDED KERNELS AND THEIR MEAN...
LI CHEN
and 2 more
October 30, 2023
The well-posedness and regularity properties of diffusion-aggregation equations, emerging from interacting particle systems, are established on the whole space for bounded interaction force kernels by utilizing a compactness convergence argument to treat the non-linearity as well as a Moser iteration. Moreover, we prove a quantitative estimate in probability with arbitrary algebraic rate between the approximative interacting particle systems and the approximative McKean--Vlasov SDEs, which implies propagation of chaos for the interacting particle systems.