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20042026
most citedSobolev differentiable stochastic flows for SDEs with singular coefficients: Applications to the transport equation

82 citations · 154 across the 37 of their papers we have counts for

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math.AP2020★ 1 cited

Well-posedness of the Deterministic Transport Equation with Singular Velocity Field Perturbed along Fractional Brownian Paths

Oussama Amine, Abdol-Reza Mansouri, Frank Proske

In this article we prove path-by-path uniqueness in the sense of Davie \cite{Davie07} and Shaposhnikov \cite{Shaposhnikov16} for SDE's driven by a fractional Brownian motion with a…