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- W237967508 abstract "We consider a one-dimensional Stochastic Differential Equation with reflection where we allow the drift to be merely bounded and measurable. It is already known that such equations have a unique strong solution. Recently, it has been shown that non-reflected SDE's with discontinuous drift possess more regularity than one could expect, namely they are Malliavin differentiable and weakly differentiable w.r.t. the initial value. In this paper we show that similar results hold for one-dimensional SDE's with reflection. We then apply the results to get a Bismut-Elworthy-Li formula for the corresponding Kolmogorov equation." @default.
- W237967508 created "2016-06-24" @default.
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- W237967508 date "2014-10-02" @default.
- W237967508 modified "2023-09-26" @default.
- W237967508 title "A Note on the Malliavin Differentiability of One-Dimensional Reflected Stochastic Differential Equations with Discontinuous Drift" @default.
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- W237967508 doi "https://doi.org/10.48550/arxiv.1410.0520" @default.
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