Boundedness estimates for nonlinear nonlocal kinetic Kolmogorov-Fokker-Planck equations
Analysis of PDEs
2025-08-29 v2
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.
Keywords
Cite
@article{arxiv.2301.06334,
title = {Boundedness estimates for nonlinear nonlocal kinetic Kolmogorov-Fokker-Planck equations},
author = {Francesca Anceschi and Mirco Piccinini},
journal= {arXiv preprint arXiv:2301.06334},
year = {2025}
}