Derives heat-kernel bounds and Schauder estimates for SDEs with L^∞ C^β drifts in the Young regime via non-Levi parametrix, implying weak well-posedness, irreducibility and strong Feller property.
Lemari\'e-Rieusset
2 Pith papers cite this work. Polarity classification is still indexing.
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2026 2verdicts
UNVERDICTED 2representative citing papers
Matching the test function's spatial regularity to that of the singular drift (Lebesgue, Hölder or negative Besov) improves or preserves weak convergence rates for discretization of SDEs with stable noise.
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On Heat kernel Estimtes for Brownian SDEs with Distributional Drift
Derives heat-kernel bounds and Schauder estimates for SDEs with L^∞ C^β drifts in the Young regime via non-Levi parametrix, implying weak well-posedness, irreducibility and strong Feller property.
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Weak error for SDEs with additive stable noise and singular drift: choose the test function in the same space as the drift!
Matching the test function's spatial regularity to that of the singular drift (Lebesgue, Hölder or negative Besov) improves or preserves weak convergence rates for discretization of SDEs with stable noise.