Stochastic flows for Lévy processes with Hölder drifts

Abstract

In this paper, we study the following stochastic differential equation (SDE) in R: dXt = dZt + b(t, Xt)dt, X0 = x, where Z is a Lévy process. We show that for a large class of Lévy processes Z and Hölder continuous drift b, the SDE above has a unique strong solution for every starting point x ∈ R . Moreover, these strong solutions form a C-stochastic flow… (More)

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