On differentiability with respect to the initial data of a solution of an SDE with Lévy noise and discontinuous coefficients

Published 21 Nov 2012 in math.PR | (1211.4975v4)

Abstract: 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.

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