Glaeser's continuity theorem
id:
glaeser-s-continuity-theorem-287-18171529
title:
Glaeser's continuity theorem
text:
In mathematical analysis, Glaeser's continuity theorem is a characterization of the continuity of the derivative of the square roots of functions of class C 2 . It was introduced in 1963 by Georges Glaeser, and was later simplified by Jean Dieudonné. The theorem states: Let f : U → R 0 + :\ U\rightarrow \mathbb {R} _{0}^{+}} be a function of class C 2 in an open set U contained in R n , then f is of class C 1 in U if and only if its partial derivatives of first and second order vanish in th
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wiki
category slug:
encyclopedia
description:
Characterizes the continuity of the derivative of the square roots of C2 functions
original url:
https://en.wikipedia.org/wiki/Glaeser%27s_continuity_theorem
date created:
date modified:
2023-08-03T19:53:49Z
main entity:
{"identifier":"Q3527084","url":"https://www.wikidata.org/entity/Q3527084"}
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fields total:
13
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14