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Backward stochastic differential equations with Young drift

This research was partially supported by the DAAD P.R.I.M.E. program and NSF grant DMS 1413717.
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  • We show the well-posedness of backward stochastic differential equations containing an additional drift driven by a path of finite q-variation with q ∈[1, 2). In contrast to previous work, we apply a direct fixpoint argument and do not rely on any type of flow decomposition. The resulting object is an effective tool to study semilinear rough partial differential equations via a Feynman-Kac type representation.

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