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arXiv · 1607.07344

Newton and Bouligand derivatives of the scalar play and stop operator

Martin Brokate
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Abstract

We prove that the play and the stop operator possess Newton and Bouligand derivatives, and exhibit formulas for those derivatives. The remainder estimate is given in a strenghtened form, and a corresponding chain rule is developed. The construction of the Newton derivative ensures that the mappings involved are measurable.

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Martin Brokate. 2016-07-25. Newton and Bouligand derivatives of the scalar play and stop operator. https://arxiv.org/abs/1607.07344

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