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Approximate McKean–Vlasov representations for a class of SPDEs

Approximate McKean–Vlasov representations for a class of SPDEs

The solution of a class of linear stochastic partial differential equations is approximated using Clark's robust representation approach. The ensuing approximations are shown to coincide with the time marginals of solutions of a certain McKean–Vlasov type equation. We prove existence and uniqueness of the solution of the McKean–Vlasov equation.