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math.AP2026
Kinetic Fokker-Planck equations with Maxwell boundary conditions
Kyeongbae Kim, Marvin Weidner
We develop the boundary regularity theory for solutions to linear kinetic Fokker-Planck equations with Maxwell boundary conditions. These conditions interpolate between diffuse and…
math.AP2026
Boundary Harnack estimates of optimal order for kinetic Fokker-Planck equations
Kyeongbae Kim, Marvin Weidner
We establish higher order boundary Harnack estimates for solutions to kinetic Fokker-Planck equations with absorbing incoming boundaries. Unlike classical elliptic and parabolic eq…
math.AP2026
Sharp regularity near the grazing set for kinetic Fokker-Planck equations
Kyeongbae Kim, Marvin Weidner
We prove optimal regularity results for solutions to linear kinetic Fokker-Planck equations in bounded domains. Our contributions are two-fold. First, we establish the sharp $C^{1/…