Boundedness estimates for nonlinear nonlocal kinetic Kolmogorov-Fokker-Planck equations
arXiv:2301.06334 · doi:10.1007/s00030-025-01121-y
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.