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- W2898086319 abstract "We establish strong uniqueness for a class of degenerate SDEs of weak Hormander type under suitable Holder regularity conditions for the associated drift term. Our approach relies on the Zvonkin transform which requires to exhibit good smoothing properties of the underlying parabolic PDE with rough, here Holder, drift coefficients and source term. Such regularizing effects are established through a perturbation technique (forward parametrix approach) which also heavily relies on appropriate duality properties on Besov spaces. For the method employed, we exhibit some sharp thresholds on the Holder exponents for the strong uniqueness to hold." @default.
- W2898086319 created "2018-11-02" @default.
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- W2898086319 date "2018-10-26" @default.
- W2898086319 modified "2023-09-23" @default.
- W2898086319 title "Strong regularization by Brownian noise propagating through a weak Hörmander structure" @default.
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