Backward Stochastic Differential Equations on Manifolds

Fabrice Blache

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Backward Stochastic Differential Equations on Manifolds

Fabrice Blache

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Abstract

The problem of finding a martingale on a manifold with a fixed random terminal value can be solved by considering BSDEs with a generator with quadratic growth. We study here a generalization of these equations and we give uniqueness and existence results in two different frameworks, using differential geometry tools. Applications to PDEs are given, including a certain class of Dirichlet problems on manifolds.

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BibTeX RIS

Fabrice Blache. 2005-01-18. Backward Stochastic Differential Equations on Manifolds. https://arxiv.org/abs/math/0501265

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