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arXiv · 1505.04167

Intermittency for the wave equation with L\'evy white noise

Raluca M. Balan·Cheikh B. Ndongo
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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 $p \geq 2$ 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).

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Raluca M. Balan, Cheikh B. Ndongo. 2015-05-15. Intermittency for the wave equation with L\'evy white noise. https://arxiv.org/abs/1505.04167

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