On a non-linear 2D fractional wave equation
Probability
2017-10-24 v1 Analysis of PDEs
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.
Cite
@article{arxiv.1710.08257,
title = {On a non-linear 2D fractional wave equation},
author = {Aurélien Deya},
journal= {arXiv preprint arXiv:1710.08257},
year = {2017}
}