3 papers
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…
math.AP2025
Boundedness of weak solutions to degenerate Kolmogorov equations of hypoelliptic type in bounded domains
Mingyi Hou
We establish the boundedness of weak subsolutions for a class of degenerate Kolmogorov equations of hypoelliptic type, compatible with a homogeneous Lie group structure, within bou…
math.AP2025
Variational Formulation and Capacity Estimates for Non-Self-Adjoint Fokker-Planck Operators in Divergence Form
Mingyi Hou
We introduce a variational formulation for a general class of possibly degenerate, non-self-adjoint Fokker-Planck operators in divergence form, motivated by the work of Albritton e…