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Stationary kinetic Krylov-Safonov estimates in space dimension one
Abstract
We prove interior Hölder regularity for solutions of the stationary kinetic Fokker-Planck equation in non-divergence form in space dimension one. The estimate is independent of any small-oscillation condition on the diffusion coefficient.
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BibTeX
@misc{zhu2026stationary,
title = {{Stationary kinetic Krylov-Safonov estimates in space dimension one}},
author = {Yuzhe Zhu},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.31158},
eprint = {2608.31158},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.31158},
}
RIS
TY - UNPB
TI - Stationary kinetic Krylov-Safonov estimates in space dimension one
AU - Yuzhe Zhu
PY - 2026
DA - 2026/08/31
PB - arXiv
DO - 10.48550/arxiv.2608.31158
UR - https://arxiv.org/abs/2608.31158
AB - We prove interior Hölder regularity for solutions of the stationary kinetic Fokker-Planck equation in non-divergence form in space dimension one. The estimate is independent of any small-oscillation condition on the diffusion coefficient.
ER -