The Cauchy problem for a nonlinear stochastic wave equation in any dimension

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Stochastic integrals for spde's: a comparison (2010, background): “However, we note that the stochastic wave equation in higher dimensions (d > 3) can also be formulated and solved in the infinite-dimensional setting, but using a slightly different formulation (see [30]).”
On a nonlinear stochastic wave equation in the plane: existence and uniqueness of the solution (2001, methodology): “S. Peszat and J. Zabczyk [13], R. Dalang [3] and S. Peszat [ 12 ] have recently studied the existence and uniqueness of the solution to (1.2) in dimension n 3 by using Fourier transform methods and a characterization of the space covariance structure of the noise F . In [13], the authors show the ex”