Article ID Journal Published Year Pages File Type
1151337 Statistics & Probability Letters 2016 10 Pages PDF
Abstract
In this article, we consider the stochastic wave equation on R+×R driven by the Lévy white noise introduced in Balan (2015). Using Rosenthal's inequality, we develop a maximal inequality for the moments of order p≥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).
Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
Authors
, ,