Multi-dimensional BSDE with Oblique Reflection and Optimal Switching

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dc.creatorHu, Ying
dc.creatorTang, Shanjian
dc.date2007-06-29
dc.date2007-07-04
dc.date.accessioned2026-07-07T08:13:41Z
dc.date.available2026-07-07T08:13:41Z
dc.descriptionIn this paper, we study a multi-dimensional backward stochastic differential equation (BSDE) with oblique reflection, which is a BSDE reflected on the boundary of a special unbounded convex domain along an oblique direction, and which arises naturally in the study of optimal switching problem. The existence of the adapted solution is obtained by the penalization method, the monotone convergence, and the a priori estimations. The uniqueness is obtained by a verification method (the first component of any adapted solution is shown to be the vector value of a switching problem for BSDEs). As applications, we apply the above results to solve the optimal switching problem for stochastic differential equations of functional type, and we give also a probabilistic interpretation of the viscosity solution to a system of variational inequalities.
dc.identifierhttps://arxiv.org/abs/0706.4365
dc.identifierhttp://arxiv.org/abs/0706.4365
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132854
dc.subjectProbability
dc.titleMulti-dimensional BSDE with Oblique Reflection and Optimal Switching
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