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Brokate, Martin
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Bouligand derivative
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Newton and Bouligand derivatives of the scalar play and stop operator
(
Les Ulis : EDP Sciences,
2020
)
Brokate, Martin
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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 strengthened form, and a corresponding chain rule is developed. The construction of the Newton derivative ensures that the mappings involved are measurable. © The authors. Published by EDP Sciences, 2020.
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