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arxiv: 1709.09817 · v1 · pith:DJSM2VSTnew · submitted 2017-09-28 · 🧮 math.PR

Reflected BSDE driven by G-Brownian motion with an upper obstacle

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keywords reflecteddriveng-brownianmotionobstacleupperapproximationbackward
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In this paper, we study the reflected backward stochastic differential equation driven by G-Brownian motion (reflected G-BSDE for short) with an upper obstacle. The existence is proved by approximation via penalization. By using a variant comparison theorem, we show that the solution we constructed is the largest one.

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