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arXiv · 1710.08257

On a non-linear 2D fractional wave equation

Aurélien Deya
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Abstract

We pursue the investigations initiated in [Aur{\'e}lien Deya: A non-linear wave equation with fractional perturbation (2017)] about a wave-equation model with quadratic perturbation and stochastic forcing given by a space-time fractional noise. We focus here on the two-dimensional situation and therein extend the results of the previous reference to a rougher noise, through the use of a third-order expansion. We also point out the limits of the Wick-renormalisation procedure in this case.

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Aurélien Deya. 2017-10-23. On a non-linear 2D fractional wave equation. https://arxiv.org/abs/1710.08257

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