Characterizes the continuity of the derivative of the square roots of C2 functions
In mathematical analysis, Glaeser's continuity theorem is a characterization of the continuity of the derivative of the square roots of functions of class formula_1. It was introduced in 1963 by Georges Glaeser, and was later simplified by Jean Dieudonné.
The theorem states: Let formula_2 be a function of class formula_3 in an open set "U" contained in formula_4, then formula_5 is of class formula_6 in "U" if and only if its partial derivatives of first and second order vanish in the zeros of "f".
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