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IPSO - 2015
New Results
Bibliography
New Results
Bibliography


Section: New Results

Estimate for PtD for the stochastic Burgers equation

In [47] , we consider the Burgers equation on H=L2(0,1) perturbed by white noise and the corresponding transition semigroup Pt. We prove a new formula for PtDϕ (where ϕ:H is bounded and Borel) which depends on ϕ but not on its derivative. Then we deduce some new consequences for the invariant measure ν of Pt as its Fomin differentiability and an integration by parts formula which generalises the classical one for gaussian measures.