Geodesic
Newton and Bouligand derivatives of the scalar play and stop operator
Martin Brokate1, 2
1 Department of Mathematics, Technical University of Munich, Boltzmannstr. 3, 85747 Garching, Germany.
2 Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstr. 39, 10117 Berlin, Germany.
Mathematical modelling of natural phenomena, Tome 15 (2020), article no. 51.

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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.
DOI : 10.1051/mmnp/2020013

Martin Brokate 1, 2

1 Department of Mathematics, Technical University of Munich, Boltzmannstr. 3, 85747 Garching, Germany.
2 Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstr. 39, 10117 Berlin, Germany. 
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Martin Brokate. Newton and Bouligand derivatives of the scalar play and stop operator. Mathematical modelling of natural phenomena, Tome 15 (2020), article  no. 51. doi : 10.1051/mmnp/2020013. https://geodesic-test.mathdoc.fr/articles/10.1051/mmnp/2020013/

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