English

Moderate deviations for a stochastic wave equation in dimension three

Probability 2017-10-03 v3

Abstract

In this paper, we proved a central limit theorem and established a moderate deviation principle for a perturbed stochastic wave equation defined on [0,T]×\rr3[0,T]\times \rr^3. This equation is driven by a Gaussian noise, white in time and correlated in space. The weak convergence approach plays an important role.

Keywords

Cite

@article{arxiv.1605.02310,
  title  = {Moderate deviations for a stochastic wave equation in dimension three},
  author = {L. Cheng and R. Li and R. Wang and N. Yao},
  journal= {arXiv preprint arXiv:1605.02310},
  year   = {2017}
}

Comments

20 pages. arXiv admin note: text overlap with arXiv:1509.01757

R2 v1 2026-06-22T13:55:45.619Z