Section: New Results
Estimate for for the stochastic Burgers equation
In  , we consider the Burgers equation on perturbed by white noise and the corresponding transition semigroup . We prove a new formula for (where is bounded and Borel) which depends on but not on its derivative. Then we deduce some new consequences for the invariant measure of as its Fomin differentiability and an integration by parts formula which generalises the classical one for gaussian measures.