TITLE:
The Well-Posedness of Forward-Backward Stochastic Partial Differential Equations
AUTHORS:
Shilun Li, Hong Yin
KEYWORDS:
Forward-Backward Equations, Navier-Stokes Equations, Four Step Scheme, Galerkin Approximation
JOURNAL NAME:
Applied Mathematics,
Vol.17 No.9,
September
23,
2026
ABSTRACT: The solvability of a class of fully coupled forward-backward stochastic partial differential equations (FBSPDEs) under monotonicity conditions are studied in this paper. The existence and uniqueness of the solutions of the FBSPDEs have been obtained.