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Regularity of kinetic Fokker-Planck equations in bounded domains

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arxiv 2206.04536 v2 pith:BB445O4D submitted 2022-06-09 math.AP

Yuzhe Zhu This is my paper · ORCID
classification math.AP
keywords boundedequationsfokker-planckkineticreflectionregularityboundarycases
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We obtain the existence, uniqueness and regularity results for solutions to kinetic Fokker-Planck equations with bounded measurable coefficients in the presence of boundary conditions, including the inflow, diffuse reflection and specular reflection cases.

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  1. Gradient estimates for nonlinear kinetic Fokker-Planck equations

    math.AP 2025-02 conditional novelty 8.0 of 10

    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.

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