2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/160939We are concerned with a viscous Burgers equation forced by a perturbation of white noise type. We study the corresponding transition semigroup in a space of continuous functions weighted by a proper potential, and we show that the infinitesimal generator is the closure (with respect to a suitable topology) of the Kolmogorov operator associated to the stochastic equation. In the last part of the paper we use this result to solve the corresponding Fokker-Planck equation.39 pagesAnalysis of PDEsProbability35Q53, 60H15, 35R15, 47D07text