Approximations of Mckean-Vlasov SDEs with Irregular Coefficients
Abstract
The goal of this paper is to approximate several kinds of Mckean-Vlasov SDEs with irregular coefficients via weakly interacting particle systems. More precisely, propagation of chaos and convergence rate of Euler-Maruyama scheme associated with the consequent weakly interacting particle systems are investigated for Mckean-Vlasov SDEs, where (i) the diffusion terms are H\"older continuous by taking advantage of Yamada-Watanabe's approximation approach and (ii) the drifts are H\"older continuous by freezing distributions followed by invoking Zvonkin's transformation trick.
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