Volume 7 (2024)
Zhu, Yuzhe
Regularity of kinetic Fokker–Planck equations in bounded domains
Annales Henri Lebesgue, Volume 7 (2024), pp. 1323-1366.

Metadata

DOI10.5802/ahl.221
Keywords Kinetic Fokker–Planck equations, Boundary estimates, Hölder regularity, Inflow and reflection boundary problems

Abstract

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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