Presents a physical-space proof of Bouchut-Hörmander transfer-of-regularity estimates for kinetic equations at weak local diffusion scale via explicit mollification defect along critical trajectories.
Kinetic maximalL 2-regularity for the (fractional) Kolmogorov equa- tion.Journal of Evolution Equations, 21(3):3585–3612
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Transfer of regularity by kinetic mollification along critical trajectories
Presents a physical-space proof of Bouchut-Hörmander transfer-of-regularity estimates for kinetic equations at weak local diffusion scale via explicit mollification defect along critical trajectories.