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arXiv · 2112.04954

Solving the hyperbolic Anderson model 1: Skorohod setting

Xia Chen·Aurélien Deya·Jian Song·Samy Tindel
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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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Xia Chen, Aurélien Deya, Jian Song, Samy Tindel. 2021-12-09. Solving the hyperbolic Anderson model 1: Skorohod setting. https://arxiv.org/abs/2112.04954

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