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Reflected Mckean-Vlasov stochastic differential equations with jumps in time-dependent domains

Reflected Mckean-Vlasov stochastic differential equations with jumps in time-dependent domains

In this paper, we investigate the deterministic multidimensional Skorokhod problem with normal reflection in a family of time-dependent convex domains that are c\`adl\`ag with respect to the Hausdorff metric. We then show the existence and uniqueness of solutions to multidimensional McKean-Vlasov stochastic differential equations reflected in these time-dependent domains. Additionally, …