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    Bases, Outils Et Principes Pour L'analyse Variationnelle:

    ISBN-10: 3642307345
    ISBN-13: 9783642307348
    Edition: 2012
    Description: L'etude mathematique des problemes d'optimisation, ou de ceux dits variationnels de maniere generale (c'est-a-dire, toute situation ou il y a quelque chose a minimiser sous des contraintes ), requiert en prealable qu'on en maitrise les bases, les  More...
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    Copyright Year: 2012
    Publisher: Springer Verlag
    Binding: Paperback
    Pages: 207
    Size: 6.10" wide x 9.25" long
    Language: French

    L'etude mathematique des problemes d'optimisation, ou de ceux dits variationnels de maniere generale (c'est-a-dire, toute situation ou il y a quelque chose a minimiser sous des contraintes ), requiert en prealable qu'on en maitrise les bases, les outils fondamentaux et quelques principes. Le present ouvrage est un cours repondant en partie a cette demande, il est principalement destine a des etudiants de Master en formation, et restreint a l'essentiel. Sont abordes successivement: La semicontinuite inferieure, les topologies faibles, les resultats fondamentaux d'existence en optimisation; Les conditions d'optimalite approchee; Des developpements sur la projection sur un convexe ferme, notamment sur un cone convexe ferme; L'analyse convexe dans son role operatoire; Quelques schemas de dualisation dans des problemes d'optimisation non convexe structures; Une introduction aux sous-differentiels generalises de fonctions non differentiables."

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