A duality recipe for non-convex variational problems - 28/02/18
Un principe de dualité pour des problèmes variationnels non convexes
, Minh Phan
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Abstract |
The aim of this paper is to present a general convexification recipe that can be useful for studying non-convex variational problems. In particular, this allows us to treat such problems by using a powerful primal–dual scheme. Possible further developments and open issues are given.
Il testo completo di questo articolo è disponibile in PDF.Résumé |
Nous présentons un principe général de convexification permettant de traiter certains problèmes variationnels non convexes. Ce principe permet de mettre en œuvre les puissantes techniques de dualité en ramenant de tels problèmes à des formulation de type primal–dual. Quelques perspectives et problèmes ouverts sont évoqués.
Il testo completo di questo articolo è disponibile in PDF.Keywords : Non-convex optimization, Min–Max principle, Free boundary, Free discontinuities, Γ-convergence
Mots-clés : Optimisation non convexe, Principe de min–max, Frontière libre, Discontinuités libres, Γ-convergence
Mappa
Vol 346 - N° 3
P. 206-221 - marzo 2018 Ritorno al numero
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