Solving the hyperbolic Anderson model 1: Skorohod setting

Published 9 Dec 2021 in math.PR | (2112.04954v1)

Abstract: This paper is concerned with a wave equation in dimension $d\in {1,2, 3}$, 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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