Calculus of Variations and Geometric Measure Theory

F. Anceschi - M. Piccinini

Boundedness estimates for nonlinear nonlocal kinetic Kolmogorov-Fokker-Planck equations

created by piccinini on 30 Jun 2025
modified on 01 Jul 2025

[BibTeX]

Preprint

Inserted: 30 jun 2025
Last Updated: 1 jul 2025

Year: 2024

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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