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

Mathematics – Probability

Scientific paper

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17 pages

Scientific paper

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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