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.

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

Piccinini, Mirco
2025-01-01

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.
2025
Fractional Laplacian
Fractional Sobolev spaces
Kinetic equations
Kolmogorov-Fokker-Planck equations
Nonlinear operators
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1309614
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