Mean-Field Doubly Reflected Backward Stochastic Differential Equations

Yinggu Chen; Said Hamadene; Tingshu Mu

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arXiv · 2007.04598

Mean-Field Doubly Reflected Backward Stochastic Differential Equations

Yinggu Chen·Said Hamadene·Tingshu Mu

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Abstract

We study mean-field doubly reflected BSDEs. First, using the fixed point method, we show existence and uniqueness of the solution when the data which define the BSDE are $p$-integrable with $p=1$ or $p>1$. The two cases are treated separately. Next by penalization we show also the existence of the solution. The two methods do not cover the same set of assumptions.

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BibTeX RIS

Yinggu Chen, Said Hamadene, Tingshu Mu. 2020-07-09. Mean-Field Doubly Reflected Backward Stochastic Differential Equations. https://arxiv.org/abs/2007.04598

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