Boundary estimates for non-divergence equations in $C^1$ domains
Analysis of PDEs
2025-12-29 v4
Abstract
We obtain boundary nondegeneracy and regularity estimates for solutions to non-divergence equations in domains, providing an explicit modulus of continuity. Our results extend the classical Hopf-Oleinik lemma and boundary Lipschitz regularity for domains with boundaries, while also recovering the known regularity for flat Lipschitz domains, unifying both theories with a single proof.
Keywords
Cite
@article{arxiv.2410.15782,
title = {Boundary estimates for non-divergence equations in $C^1$ domains},
author = {Clara Torres-Latorre},
journal= {arXiv preprint arXiv:2410.15782},
year = {2025}
}
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22 pages