Geodesic
Subdifferential Analysis of the Van der Waerden Function
Journal of convex analysis, Tome 18 (2011) no. 3, pp. 699-705

Voir la notice de l'article provenant de la source Heldermann Verlag

A concise and direct proof is given that H\"older subdifferentials of the (continuous but nowhere differentiable) Van der Waerden function $H(\cdot)$ exhibits the same behaviour as the Weierstrass function: There exists a countable dense set $\Gamma \subset R$ (the dyadic rationals) such that each H\"older subdifferential $\partial_\alpha H(x)$ is all of $\mathbb R$ for every $x\in\Gamma$, while $\partial_\alpha H(x)=\emptyset$ for $x\notin \Gamma$.
Classification : 26A27, 49J52
Mots-clés : Van der Waerden function, H\"older subdifferentials, nonsmooth analysis 
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     title = {Subdifferential {Analysis} of the {Van} der {Waerden} {Function}},
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P. Góra; R. J. Stern. Subdifferential Analysis of the Van der Waerden Function. Journal of convex analysis, Tome 18 (2011) no. 3, pp. 699-705. http://geodesic.mathdoc.fr/item/JCA_2011_18_3_JCA_2011_18_3_a6/