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 02 Aug 2025

[BibTeX]

Published Paper

Inserted: 30 jun 2025
Last Updated: 2 aug 2025

Journal: NoDEA
Year: 2025

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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