On the Hopf Lemma

Mathematics – Analysis of PDEs

Scientific paper

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This paper has been withdrawn, since the result had been proved earlier

Scientific paper

The Hopf Lemma for second order elliptic operators is proved to hold in
domains with $C^{1,\alpha}$, and even less regular, boundaries. It need not
hold for $C^1$ boundaries. Corresponding results are proved for second order
parabolic operators.

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