On some applications of Sobolev flows of SDEs with unbounded drift coefficients

dc.contributor.authorMenoukeu, P.O.
dc.date.accessioned2018-09-11T10:31:01Z
dc.date.available2018-09-11T10:31:01Z
dc.date.issued2018
dc.description.abstractWe study two applications of spatial Sobolev smoothness of stochastic flows of unique strong solution to stochastic differential equations (SDEs) with irregular drift coefficients. First, we analyse the stochastic transport equation assuming that the drift coefficient is Borel measurable, with spatial linear growth and show that the above equation has a unique Sobolev differentiable weak coefficient for all t∈[0,T] for T small enough. Second, we consider the Kolmogorov equation and obtain a representation of the spatial derivative of its solution v. The latter result is obtained via the martingale representation theorem given in (Elliott and Kohlmann, 1988) and generalises the results in (Elworthy and Li, 1994; Menoukeu-Pamen et al., 2013). © 2018 Elsevier B.Ven_US
dc.identifier.otherdoi:10.1016/j.spl.2018.05.029
dc.identifier.urihttp://ugspace.ug.edu.gh/handle/123456789/24049
dc.language.isoenen_US
dc.publisherElsevier B.Ven_US
dc.titleOn some applications of Sobolev flows of SDEs with unbounded drift coefficientsen_US
dc.typeArticleen_US

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