Solutions de viscosite des equations de Hamilton-Jacobi

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Le but de ce livre est de presenter la theorie des solutions de viscosite pour les equations de Hamilton-Jacobi du premier ordre et ses applications aux problemes de controle optimal deterministe et de perturbations singulieres, en particulier du type Grandes Deviations. Il est principalement destine aux etudiants de troisieme cycle et aux chercheurs qui souhaitent se familiariser avec cette theorie mais il en fournit egalement un panorama assez complet pour les equations du premier ordre.