摘要

The paper is concerned with a semi-linear backward stochastic Schrodinger equation in R-d or in its bounded domain of a C-2 boundary. Galerkin's finite-dimensional approximation method is used and the harmonic role of the Laplacian is shown. The existence, uniqueness and regularity are given for the weak solution of the equation. A more general backward stochastic Hamiltonian partial differential equation is also discussed.

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