Infinite Horizon Multi-Dimensional BSDE with Oblique Reflection and Switching Problem

Brahim El Asri; Nacer Ourkiya

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arXiv · 2102.04948

Infinite Horizon Multi-Dimensional BSDE with Oblique Reflection and Switching Problem

Brahim El Asri·Nacer Ourkiya

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Abstract

This paper studies a system of multi-dimensional reflected backward stochastic differential equations with oblique reflections (RBSDEs for short) in infinite horizon associated to switching problems. The existence and uniqueness of the adapted solution is obtained by using a method based oa combination of penalization, verification method and contraction property.

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Brahim El Asri, Nacer Ourkiya. 2021-02-09. Infinite Horizon Multi-Dimensional BSDE with Oblique Reflection and Switching Problem. https://arxiv.org/abs/2102.04948

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