Strong well-posedness is proven for the VFPDK equation with correlated noise via kinetic semigroup estimates and renormalized kinetic solutions.
The S chauder estimate for kinetic integral equations
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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.