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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