Radó's theorem (harmonic functions)
id:
rad-s-theorem-harmonic-functions-305-5558594
title:
Radó's theorem (harmonic functions)
text:
In mathematics, Radó's theorem is a result about harmonic functions, named after Tibor Radó. Informally, it says that any "nice looking" shape without holes can be smoothly deformed into a disk. Suppose Ω is an open, connected and convex subset of the Euclidean space R2 with smooth boundary ∂Ω and suppose that D is the unit disk. Then, given any homeomorphism
μ : ∂D → ∂Ω, there exists a unique harmonic function u : D → Ω such that u = μ on ∂D and u is a diffeomorphism.
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original url:
https://en.wikipedia.org/wiki/Rad%C3%B3%27s_theorem_(harmonic_functions)
date created:
date modified:
2022-08-24T15:15:59Z
main entity:
{"identifier":"Q973359","url":"https://www.wikidata.org/entity/Q973359"}
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