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