Stochastic differential equations on manifolds - differential geometry and probability

• Date de parution : 22/09/2010
• Editeur : Editions Universitaires Europeennes
• EAN : 9786131536854
• Série : (-)
• Support : Poche

• Nombre de pages : (-)
• Collection : (-)
• Genre : Lettres et linguistique
• Thème : Lettres et linguistique Poche
• Prix littéraire(s) : (-)

This thesis is devoted to the study of some kind of Backward Stochastic Differential Equations (BSDE for short) with a drift f, whose solutions belong to a Riemannian manifold with connection. It generalizes two well-known problems : the research for martingales with prescribed terminal value,... Voir plus

This thesis is devoted to the study of some kind of Backward Stochastic Differential Equations (BSDE for short) with a drift f, whose solutions belong to a Riemannian manifold with connection. It generalizes two well-known problems : the research for martingales with prescribed terminal value, and the existence and uniqueness of solutions to euclidean BSDE with Lipschitz drift, originally studied by E. Pardoux and S. Peng.