Abstract:
In this paper we establish new homogenization results for stochastic linear hyperbolic equations with
periodically oscillating coefficients. We first use the multiple expansion method to drive the homogenized
problem. Next we use the two scale convergence method and Prokhorov’s and Skorokhod’s probabilistic
compactness results. We prove that the sequence of solutions of the original problem converges in suitable
topologies to the solution of a homogenized stochastic hyperbolic problem with constant coefficients. We also
prove a corrector result.
