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math.PR2025
SDEs with subcritical Lebesgue--Hölder drift and driven by -stable processes
Rongrong Tian, Jinlong Wei
We obtain the unique weak and strong solvability for time inhomogeneous stochastic differential equations with the drift in subcritical Lebesgue--Hölder spaces $L^p([0,T];{\mathcal…
math.PR2017★ 1 cited
Well-posedness of nonlinear transport equation by stochastic perturbation
Jinlong Wei, Rongrong Tian, Guangying Lv
We are concerned with multidimensional nonlinear stochastic transport equation driven by Brownian motions. For irregular fluxes, by using stochastic BGK approximations and commutat…