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On the exit times of SDEs driven by $G$-Brownian motion

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 نشر من قبل Guomin Liu
 تاريخ النشر 2018
  مجال البحث
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This paper is devoted to studying the properties of the exit times of stochastic differential equations driven by $G$-Brownian motion ($G$-SDEs). In particular, we prove that the exit times of $G$-SDEs has the quasi-continuity property. As an application, we give a probabilistic representation for a large class of fully nonlinear elliptic equations with Dirichlet boundary.



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