The smallest g-supermartingale and reflected BSDE with single and double L2 obstacles

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Viscosity solutions of fully nonlinear parabolic path dependent PDEs: Part II (2012, unknown): “Xu [29] for details.”
Reflected BSDEs on filtered probability spaces (2014, background): “3) has been considered in [21] in the case of reflected BSDEs with Brownian filtration.”
A note on existence and uniqueness for solutions of multidimensional reflected BSDEs (2011, unknown): “We then consider the following system of reflected BSDEs: find (Ẏ , Ż, K̇) ∈ [S2c ×H2 ×K2c ]d such that Ẏ it = ξ i + ∫ T t f i(s, Ẏs, Żs)ds− ∫ T t Ż i s.dWs + K̇ i T − K̇it , 0 ≤ t ≤ T , Ẏ it ≥ maxj∈I{Ẏ j t − C ij t } , 0 ≤ t ≤ T ,∫ T 0 [Ẏ i t −maxj∈I{Ẏ j t − C ij t }]dK̇it = 0 , 0 ≤ i ≤…”
About the Pricing Equations in Finance (2011, result): “Peng and Xu [89].”
BSDEs with monotone generator and two irregular reflecting barriers (2013, methodology): “In [28] it is shown that in case p = 2 there exists a solution of BSDE with two reflecting barriers for Lipschitz continuous generators satisfying the linear growth condition.”
Switching problem and related system of reflected backward SDEs (2010, methodology): “We prove the existence of solutions by using the notion of the smallest g-supermartingales introduced by Peng [29] and Peng and Xu [30].”