# BSDEs driven by G-Brownian motion under degenerate case and its application to the regularity of fully nonlinear PDEs

@inproceedings{Hu2022BSDEsDB, title={BSDEs driven by G-Brownian motion under degenerate case and its application to the regularity of fully nonlinear PDEs}, author={Mingshang Hu and Shaolin Ji and Xiaojuan Li}, year={2022} }

. In this paper, we obtain the existence and uniqueness theorem for backward stochastic diﬀerential equation driven by G -Brownian motion ( G -BSDE) under degenerate case. Moreover, we propose a new probabilistic method based on the representation theorem of G -expectation and weak convergence to obtain the regularity of fully nonlinear PDE associated to G -BSDE.

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