Showing math.APShow all
2 papers · 1 filter
math.AP2026
Coarse-grained ellipticity and De Giorgi-Nash-Moser theory
Scott Armstrong, Benny Avelin, Cristiana De Filippis +2
We prove local boundedness and a Harnack inequality for nonnegative weak solutions of the equation under a coarse-grained ellipticity assump…
math.AP2025
Weak and Perron Solutions for Stationary Kramers-Fokker-Planck Equations in Bounded Domains
Benny Avelin, Mingyi Hou
In this paper, we investigate weak solutions and Perron-Wiener-Brelot solutions to the linear stationary Kramers-Fokker-Planck equation in bounded domains. We establish the existen…