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Boundary regularity of harmonic functions in $C^1$ slit domains

Domingo-Pasarin, Joan et al.
arXiv (OAI Expanded) · Papers
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35b4535b65analysis-of-pdes
We establish precise upper and lower estimates for harmonic functions vanishing on the slit of a $C^1$ slit domain, with no assumption that the slit lies in a hyperplane. The classical $\sqrt{d}$ growth near the edge, $d$ being the distance to the slit, persists in this generality, up to an explicit
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