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arxiv: 1306.4816 · v3 · pith:V4G3TVDSnew · submitted 2013-06-20 · 🧮 math.PR

On differentiability of stochastic flow for a multidimensional SDE with discontinuous drift

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keywords driftvectorboundedconsiderdataderivativedifferentiabilitydiffusion
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We consider a $d$-dimensional SDE with an identity diffusion matrix and a drift vector being a vector function of bounded variation. We give a representation for the derivative of the solution with respect to the initial data.

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