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On Pathwise Uniqueness of Stochastic Differential Equations Without Drift
Authors:Samia Beghdadi-Sakrani
Affiliation:(1) Laboratoire de Probabilité, Tour 56, Université Pierre et Marie Curie, 4, place Jussieu, 75252 Paris Cedex 05, France
Abstract:We consider the stochastic differential equation: dXt=phiv(|Xt|)dBt, where B is a Brownian motion and phiv is a non-Hölder Borel function. A sufficient condition of pathwise uniqueness is given.
Keywords:pathwise uniqueness  uniqueness in law  pure martingale
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