inria-00073499, version 1
Calculating tangent sets to certain sets in functional spaces
N° RR-3190 (1997)
Résumé : We give necessary and sufficient conditions for a given element to be a member of the second order tangent set $T»_{K}(f,v)$ to the positive cone $K$ in $L^{\infty}¸.$ Since, in general $T»_{K}(f,v)$ may be empty we give conditions on functions $f¸, v$ which ensure that the second tangent set is a cone. As an application of the results obtained we give a characterization of the elements of the first and second tangent set to the set $B={u\in W^{1,\infty}(Ømega)¸ |¸|\nabla u|^{2}\leq 1}¸.$
- 1 :
- INRIA
- Domaine : Informatique/Autre
- Mots-clés : tangent cone – second order tangent sets – shape optimization
- Référence interne : RR-3190
- inria-00073499, version 1
- http://hal.inria.fr/inria-00073499
- oai:hal.inria.fr:inria-00073499
- Contributeur :
- Soumis le : Mercredi 24 Mai 2006, 13:04:02
- Dernière modification le : Mercredi 14 Mars 2007, 09:00:34
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