On differentiability with respect to the initial data of a solution of   an SDE with L\'evy noise and discontinuous coefficients
  We construct a stochastic flow generated by an SDE with L\'evy noise and a drift coefficient being a function of bounded variation on R. It is proved that this flow is non-coalescing and Sobolev differentiable with respect to initial data. The representation for the derivative is given. 
Olga V. Aryasova and Andrey Yu. Pilipenko
math.PR