English

Regularity of kinetic Fokker-Planck equations in bounded domains

Analysis of PDEs 2025-02-25 v2

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.

Keywords

Cite

@article{arxiv.2206.04536,
  title  = {Regularity of kinetic Fokker-Planck equations in bounded domains},
  author = {Yuzhe Zhu},
  journal= {arXiv preprint arXiv:2206.04536},
  year   = {2025}
}