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.
Schauder estimates for nonlocal kinetic equations and applications
2 Pith papers cite this work. Polarity classification is still indexing.
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Strong well-posedness is proven for the VFPDK equation with correlated noise via kinetic semigroup estimates and renormalized kinetic solutions.
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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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Kinetic Theory with Fluctuations: Strong Well-Posedness of the Vlasov-Fokker-Planck-Dean-Kawasaki System
Strong well-posedness is proven for the VFPDK equation with correlated noise via kinetic semigroup estimates and renormalized kinetic solutions.