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Mckean-Vlasov stochastic differential equations with oblique reflection on non-smooth time dependent domains
Rong Wei, Saisai Yang, Jianliang Zhai · 2022-08-23 · via math.PR updates on arXiv.org

In this paper, we consider a class of Mckean-Vlasov stochastic differential equation with oblique reflection over an non-smooth time dependent domain. We establish the existence and uniqueness results of this class, address the propagation of chaos and prove a Fredlin-Wentzell type large deviations principle (LDP). One of the main difficulties is raised by the setting of non-smooth time dependent domain. To prove the LDP, a sufficient condition for the weak convergence method, which is suitable for Mckean-Vlasov stochastic differential equation, plays an important role.

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