PlanetMath: Rademacher's theorem

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Rademacher's theorem

(Theorem)

Let $f\colon \mathbb{R}^n\to \mathbb{R}$ be any Lipschitz continuous function. Then is differentiable in almost every $x\in\mathbb{R}^n$ .

"Rademacher's theorem" is owned by paolini.

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Other names:

differentiability of Lipschitz functions

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Cross-references: differentiable, function, Lipschitz continuous

This is version 3 of Rademacher's theorem, born on 2003-03-25, modified 2007-06-29.
Object id is 4128, canonical name is RademachersTheorem.
Accessed 5024 times total.

Classification:

26B05 (Real functions :: Functions of several variables :: Continuity and differentiation questions)

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