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math.AP2013★ 1 cited
Navier-Stokes equation and forward-backward stochastic differential system in the Besov spaces
Xin Chen, Ana Bela Cruzeiro, Zhongmin Qian
The Navier-Stokes equation on Rd (d greater or equal to 3) formulated on Besov spaces is considered. Using a stochastic forward-backward differential system, the local existence of…
math.AP2013
Forward-backward systems of stochastic differential equations generated by Bernstein diffusions
Ana Bela Cruzeiro, Pierre-A. Vuillermot
In this short article we present new results that bring about hitherto unknown relations between certain Bernstein diffusions wandering in bounded convex domains of Euclidean space…