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Boundedness estimates for nonlinear nonlocal kinetic Kolmogorov-Fokker-Planck equations (2301.06334v2)
Published 16 Jan 2023 in math.AP
Abstract: We investigate local regularity properties of weak solutions to a broad class of nonlinear nonlocal kinetic Kolmogorov-Fokker-Planck equations. In particular, we focus on proving an interpolative apriori boundedness estimate for weak subsolutions in terms of a tail term encoding the nonlocal contributions of the diffusion.
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