We study the well-posedness of a 3D nonlinear stochastic wave equation which derives from the Maxwell system by the Galerkin method. Then we study the approximate controllability of this system by the Hilbert uniqueness method.
Peng Gao. "Approximate Controllability of a 3D Nonlinear Stochastic Wave Equation." J. Appl. Math. 2014 1 - 7, 2014. https://doi.org/10.1155/2014/524860