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math.PR2017★ 2 cited
Large Deviation Principles of Obstacle Problems for Quasilinear Stochastic PDEs
Anis Matoussi, Wissal Sabbagh, Tusheng Zhang
In this paper, we present a sufficient condition for the large deviation criteria of Budhiraja, Dupuis and Maroulas for functionals of Brownian motions. We then establish a large d…
math.OC2017
A new Mertens decomposition of -submartingale systems. Application to BSDEs with weak constraints at stopping times
Roxana Dumitrescu, Romuald Elie, Wissal Sabbagh +1
We first introduce the concept of -submartingale systems, where the nonlinear operator corresponds to the first component of the solution of…