Intermittency for the wave equation with L\'evy white noise
Probability
2015-05-18 v1
Abstract
In this article, we consider the stochastic wave equation in dimension 1 driven by the L\'evy white noise introduced in Balan (2015). Using Rosenthal's inequality, we develop a maximal inequality for the moments of order of the integral with respect to this noise. Based on this inequality, we show that this equation has a unique solution, which is weakly intermittent in the sense of Foondun and Khoshnevisan (2009) and Khoshnevisan (2014).
Cite
@article{arxiv.1505.04167,
title = {Intermittency for the wave equation with L\'evy white noise},
author = {Raluca M. Balan and Cheikh B. Ndongo},
journal= {arXiv preprint arXiv:1505.04167},
year = {2015}
}
Comments
13 pages