A semilinear Mckean-Vlasov stochastic evolution equation in Hilbert space

This paper deals with a semilinear stochastic equation in a real Hilbert space and formulates a related McKean-Vlasov type measure-valued evolution equation. It is shown that the stochastic equation has a unique mild solution such that the corresponding probability law is the unique measure-valued solution of McKean-Vlasov evolution equation.