• Corpus ID: 245006117

Solving the hyperbolic Anderson model 1: Skorohod setting

@inproceedings{Chen2021SolvingTH,
  title={Solving the hyperbolic Anderson model 1: Skorohod setting},
  author={Xia Chen and Aur'elien Deya and Jian Song and Samy Tindel},
  year={2021}
}
This paper is concerned with a wave equation in dimension d ∈ {1, 2, 3}, with a multiplicative space-time Gaussian noise which is fractional in time and homogeneous in space. We provide necessary and sufficient conditions on the space-time covariance of the Gaussian noise, allowing the existence and uniqueness of a mild Skorohod solution. 
3 Citations

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  • Xia Chen
  • Mathematics
    Annales de l'Institut Henri Poincaré, Probabilités et Statistiques
  • 2019
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