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arxiv: 1401.6010 · v2 · pith:WKGMOFFVnew · submitted 2014-01-23 · 🧮 math.PR

Multidimensional stochastic differential equations with distributional drift

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keywords differentialdistributiondriftequationmultidimensionalstochasticanalysiscareful
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This paper investigates a time-dependent multidimensional stochastic differential equation with drift being a distribution in a suitable class of Sobolev spaces with negative derivation order. This is done through a careful analysis of the corresponding Kolmogorov equation whose coefficient is a distribution.

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