Abstract
An operator-based approach is used here to prove the existence and uniqueness of a strong solution to the time-varying nonlinear Fokker–Planck equation , in the Sobolev space , under appropriate conditions on and It is proved also that if is a density of a probability measure, so is for all . Moreover, we construct a weak solution to the McKean–Vlasov SDE associated with the Fokker–Planck equation such that is the density of its time marginal law.
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