Moderate Deviations for a Stochastic Wave Equation in Dimension Three |
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| Authors: | Lingyan Cheng Ruinan Li Ran Wang Nian Yao |
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| Affiliation: | 1.Center of Applied Mathematics,Tianjin University,Tianjin,China;2.School of Statistics and Information,Shanghai University of International Business and Economics,Shanghai,China;3.School of Mathematics and Statistics,Wuhan University,Wuhan,China;4.College of Mathematics and Statistics,Shenzhen University,Shenzhen,China |
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| 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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