BEGIN:VCALENDAR VERSION:2.0 PRODID:-//Laboratoire de Mathématiques de Versailles - ECPv6.3.5//NONSGML v1.0//EN CALSCALE:GREGORIAN METHOD:PUBLISH X-WR-CALNAME:Laboratoire de Mathématiques de Versailles X-ORIGINAL-URL:https://lmv.math.cnrs.fr X-WR-CALDESC:évènements pour Laboratoire de Mathématiques de Versailles REFRESH-INTERVAL;VALUE=DURATION:PT1H X-Robots-Tag:noindex X-PUBLISHED-TTL:PT1H BEGIN:VTIMEZONE TZID:Europe/Paris BEGIN:DAYLIGHT TZOFFSETFROM:+0100 TZOFFSETTO:+0200 TZNAME:CEST DTSTART:20190331T010000 END:DAYLIGHT BEGIN:STANDARD TZOFFSETFROM:+0200 TZOFFSETTO:+0100 TZNAME:CET DTSTART:20191027T010000 END:STANDARD END:VTIMEZONE BEGIN:VEVENT DTSTART;TZID=Europe/Paris:20190214T140000 DTEND;TZID=Europe/Paris:20190214T150000 DTSTAMP:20240328T224657 CREATED:20190212T153517Z LAST-MODIFIED:20190415T141922Z UID:4192-1550152800-1550156400@lmv.math.cnrs.fr SUMMARY:EDP : Aris Daniilidis (CMM\, University of Chile \, Santiago) : Lipschitz functions that saturate their Clarke subdifferential. DESCRIPTION:We prove that the set of Lipschitz functions with the property of having a maximal Clarke subdifferential at every point contains a linear subspace of uncountable dimension. Our approach is constructive. In particular\, in strong contrast to a previous result of similar flavour\, by J. Borwein and X. Wang\, we do not make use of the Baire category theorem. \nIn particular we establish lineability (and spaceability for the Lipschitz norm) of the above set inside the set of all Lipschitz continuous functions. (Joint work with G. Flores\, University of Chile) \nEDP : Aris Daniilidis (CMM\, University of Chile \, Santiago) : Lipschitz functions that saturate their Clarke subdifferential. URL:https://lmv.math.cnrs.fr/evenenement/aris-daniilidis-cmm-university-of-chile-santiago-lipschitz-functions-that-saturate-their-clarke-subdifferential/ LOCATION:Bâtiment Sophie Germain\, salle G210 CATEGORIES:Séminaire EDP END:VEVENT END:VCALENDAR