For nonlinear kinetic Fokker-Planck equations, the velocity gradient is controlled pointwise by kinetic Riesz potentials of the data, yielding new Hölder, BMO, and Calderón-Zygmund regularity criteria.
Kinetic maximal Lp-regularity with temporal weights and application to quasilinear kinetic diffusion equations
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Gradient estimates for nonlinear kinetic Fokker-Planck equations
For nonlinear kinetic Fokker-Planck equations, the velocity gradient is controlled pointwise by kinetic Riesz potentials of the data, yielding new Hölder, BMO, and Calderón-Zygmund regularity criteria.