Section:
New Results
Estimate for for the stochastic Burgers equation
In [47] , 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.