Newton and Bouligand derivatives of the scalar play and stop operator

Brokate, Martin

doi:https://doi.org/10.34657/6462

Newton and Bouligand derivatives of the scalar play and stop operator

dc.bibliographicCitation.firstPage	51	eng
dc.bibliographicCitation.journalTitle	Mathematical modelling of natural phenomena : MMNP	eng
dc.bibliographicCitation.volume	15	eng
dc.contributor.author	Brokate, Martin
dc.date.accessioned	2021-11-24T06:06:42Z
dc.date.available	2021-11-24T06:06:42Z
dc.date.issued	2020
dc.description.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 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.	eng
dc.description.version	publishedVersion	eng
dc.identifier.uri	https://oa.tib.eu/renate/handle/123456789/7415
dc.identifier.uri	https://doi.org/10.34657/6462
dc.language.iso	eng	eng
dc.publisher	Les Ulis : EDP Sciences	eng
dc.relation.doi	https://doi.org/10.1051/mmnp/2020013
dc.relation.essn	1760-6101
dc.rights.license	CC BY 4.0 Unported	eng
dc.rights.uri	https://creativecommons.org/licenses/by/4.0/	eng
dc.subject.ddc	510	eng
dc.subject.other	Bouligand derivative	eng
dc.subject.other	Chain rule	eng
dc.subject.other	Hysteresis operator	eng
dc.subject.other	Maximum functional	eng
dc.subject.other	Measurable selector	eng
dc.subject.other	Newton derivative	eng
dc.subject.other	Play, stop	eng
dc.subject.other	Rate independence	eng
dc.subject.other	Semismooth	eng
dc.subject.other	Sensitivity	eng
dc.subject.other	Variational inequality	eng
dc.title	Newton and Bouligand derivatives of the scalar play and stop operator	eng
dc.type	Article	eng
dc.type	Text	eng
tib.accessRights	openAccess	eng
wgl.contributor	WIAS	eng
wgl.subject	Mathematik	eng
wgl.type	Zeitschriftenartikel	eng

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