Boundary Hölder gradient estimates for parabolic $p$-Laplace type equations

Fuente: arXiv
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Autori principali: Lee, Se-Chan, Lian, Yuanyuan, Yun, Hyungsung, Zhang, Kai
Natura: Preprint
Pubblicazione: 2025
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author Lee, Se-Chan
Lian, Yuanyuan
Yun, Hyungsung
Zhang, Kai
author_facet Lee, Se-Chan
Lian, Yuanyuan
Yun, Hyungsung
Zhang, Kai
contents In this paper, we study the boundary regularity for viscosity solutions of parabolic $p$-Laplace type equations. In particular, we obtain the boundary pointwise $C^{1,α}$ regularity and global $C^{1,α}$ regularity.
format Preprint
id arxiv_https___arxiv_org_abs_2506_01018
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Boundary Hölder gradient estimates for parabolic $p$-Laplace type equations
Lee, Se-Chan
Lian, Yuanyuan
Yun, Hyungsung
Zhang, Kai
Analysis of PDEs
35B65, 35D40, 35K55, 35K65, 35K67, 35K92
In this paper, we study the boundary regularity for viscosity solutions of parabolic $p$-Laplace type equations. In particular, we obtain the boundary pointwise $C^{1,α}$ regularity and global $C^{1,α}$ regularity.
title Boundary Hölder gradient estimates for parabolic $p$-Laplace type equations
topic Analysis of PDEs
35B65, 35D40, 35K55, 35K65, 35K67, 35K92
url https://arxiv.org/abs/2506.01018