scholarly journals The density of the solution to the stochastic transport equation with fractional noise

2015 ◽  
Vol 431 (1) ◽  
pp. 57-72 ◽  
Author(s):  
Christian Olivera ◽  
Ciprian A. Tudor
Author(s):  
ALBERTO LANCONELLI ◽  
FRANK PROSKE

We determine a new explicit representation of strong solutions of Itô-diffusions and elicit its correspondence to the general stochastic transport equation. We apply this formula to deduce an explicit Donsker delta function of a diffusion.


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