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The Well-Posedness of Forward-Backward Stochastic Partial Differential Equations

DOI: 10.4236/am.2026.179034, PP. 626-643

Keywords: Forward-Backward Equations, Navier-Stokes Equations, Four Step Scheme, Galerkin Approximation

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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.

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