Regularity of kinetic Fokker-Planck equations in bounded domains

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.

References in corpus (6)

• Regularity of the Boltzmann Equation in Convex Domains
• Formation and Propagation of Discontinuity for Boltzmann Equation in Non-Convex Domains
• The Landau equation with the specular reflection boundary condition
• THE Fokker-Planck Equation With Absorbing Boundary Conditions
• Variational methods for the kinetic Fokker-Planck equation
• Velocity averaging and Hölder regularity for kinetic Fokker-Planck equations with general transport operators and rough coefficients