Homogenization for singularly perturbed stochastic wave equations with Hölder continuous coefficients

Li Yang

Statistics & Probability Letters, 2025, vol. 216, issue C

Abstract: This work is concerned with the homogenization problem for singularly perturbed stochastic wave equations. Under the assumption that the coefficients are only Hölder continuous, we prove the weak convergence of the original system to a limit equation with an extra Gaussian term by using the technique of Poisson equation in Hilbert space. The optimal convergence rate is also obtained.

Keywords: Singularly perturbed stochastic wave equation; Homogenization; Poisson equation in Hilbert space; Weak convergence (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1016/j.spl.2024.110259

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