Abstract
In this paper, we prove a central limit theorem and establish a moderate deviation principle for a perturbed stochastic wave equation defined on \([0,T]\times \mathbb{R}^{3}\). This equation is driven by a Gaussian noise, white in time and correlated in space. The weak convergence approach plays an important role.
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Acknowledgements
The authors are grateful to the referee for his/her very numerous and conscientious comments and corrections. R. Wang was supported by Natural Science Foundation of China (11431014, 11671076). N. Yao was supported by Natural Science Foundation of China (11371283).
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Cheng, L., Li, R., Wang, R. et al. Moderate Deviations for a Stochastic Wave Equation in Dimension Three. Acta Appl Math 158, 67–85 (2018). https://doi.org/10.1007/s10440-018-0174-1
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DOI: https://doi.org/10.1007/s10440-018-0174-1