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arXiv · 2506.01018

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

Se-Chan Lee·Yuanyuan Lian·Hyungsung Yun·Kai Zhang
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Abstract

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

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Se-Chan Lee, Yuanyuan Lian, Hyungsung Yun, Kai Zhang. 2025-06-01. Boundary H\"older gradient estimates for parabolic $p$-Laplace type equations. https://arxiv.org/abs/2506.01018

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