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.
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