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math.PR2023
McKean-Vlasov Stochastic Partial Differential Equations: Existence, Uniqueness and Propagation of Chaos
Wei Hong, Shihu Li, Wei Liu
In this paper, we provide a general framework for investigating McKean-Vlasov stochastic partial differential equations. We first show the existence of weak solutions by combining…
math.PR2023
Multi-Scale McKean-Vlasov SDEs: Moderate Deviation Principle in Different Regimes
Wei Hong, Ge Li, Shihu Li
The main aim of this paper is to study the moderate deviation principle for McKean-Vlasov stochastic differential equations with multiple scales. Specifically, we are interested in…