Backward Stochastic Differential Equations Driven by G-Brownian Motion with Double Reflections

Hanwu Li; Yongsheng Song

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arXiv · 1912.05808

Backward Stochastic Differential Equations Driven by G-Brownian Motion with Double Reflections

Hanwu Li·Yongsheng Song

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Abstract

In this paper, we study the reflected backward stochastic differential equations driven by G-Brownian motion with two reflecting obstacles, which means that the solution lies between two prescribed processes. A new kind of approximate Skorohod condition is proposed to derive the uniqueness and existence of the solutions. The uniqueness can be proved by a priori estimates and the existence is obtained via a penalization method.

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BibTeX RIS

Hanwu Li, Yongsheng Song. 2019-12-12. Backward Stochastic Differential Equations Driven by G-Brownian Motion with Double Reflections. https://arxiv.org/abs/1912.05808

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