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Rademacher's theorem (Theorem)

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




"Rademacher's theorem" is owned by paolini.
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See Also: Lipschitz condition

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 6169 times total.

Classification:
AMS MSC26B05 (Real functions :: Functions of several variables :: Continuity and differentiation questions)

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