کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1151337 1489870 2016 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Intermittency for the wave equation with Lévy white noise
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آمار و احتمال
پیش نمایش صفحه اول مقاله
Intermittency for the wave equation with Lévy white noise
چکیده انگلیسی
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).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Statistics & Probability Letters - Volume 109, February 2016, Pages 214-223
نویسندگان
, ,