arXiv math/06093172006-09-11math.PRmath-phmath.APmath.MP

Regularity of transition semigroups associated to a 3D stochastic Navier-Stokes equation

F. Flandoli, M. Romito

备注：: 17 pages

英文摘要：

A 3D stochastic Navier-Stokes equation with a suitable non degenerate additive noise is considered. The regularity in the initial conditions of every Markov transition kernel associated to the equation is studied by a simple direct approach. A by-product of the technique is the equivalence of all transition probabilities associated to every Markov transition kernel.

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