English

Boundary H\"older gradient estimates for parabolic $p$-Laplace type equations

Analysis of PDEs 2025-06-03 v1

Abstract

In this paper, we study the boundary regularity for viscosity solutions of parabolic pp-Laplace type equations. In particular, we obtain the boundary pointwise C1,αC^{1,\alpha} regularity and global C1,αC^{1,\alpha} regularity.

Keywords

Cite

@article{arxiv.2506.01018,
  title  = {Boundary H\"older gradient estimates for parabolic $p$-Laplace type equations},
  author = {Se-Chan Lee and Yuanyuan Lian and Hyungsung Yun and Kai Zhang},
  journal= {arXiv preprint arXiv:2506.01018},
  year   = {2025}
}
R2 v1 2026-07-01T02:53:10.150Z