Kellogg's theorem
id:
kellogg-s-theorem-246-4860053
title:
Kellogg's theorem
text:
Kellogg's theorem is a pair of related results in the mathematical study of the regularity of harmonic functions on sufficiently smooth domains by Oliver Dimon Kellogg. In the first version, it states that, for k ≥ 2 , if the domain's boundary is of class C k and the k-th derivatives of the boundary are Dini continuous, then the harmonic functions are uniformly C k as well. The second, more common version of the theorem states that for domains which are C k , α , if the boundary data is of class
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https://en.wikipedia.org/wiki/Kellogg%27s_theorem
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date modified:
2022-10-23T09:50:26Z
main entity:
{"identifier":"Q6385835","url":"https://www.wikidata.org/entity/Q6385835"}
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