کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1156867 | 1489931 | 2010 | 27 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The stochastic wave equation with fractional noise: A random field approach
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We consider the linear stochastic wave equation with spatially homogeneous Gaussian noise, which is fractional in time with index H>1/2H>1/2. We show that the necessary and sufficient condition for the existence of the solution is a relaxation of the condition obtained in Dalang (1999) [10], where the noise is white in time. Under this condition, we show that the solution is L2(Ω)L2(Ω)-continuous. Similar results are obtained for the heat equation. Unlike in the white noise case, the necessary and sufficient condition for the existence of the solution in the case of the heat equation is different (and more general) than the one obtained for the wave equation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Stochastic Processes and their Applications - Volume 120, Issue 12, December 2010, Pages 2468–2494
Journal: Stochastic Processes and their Applications - Volume 120, Issue 12, December 2010, Pages 2468–2494
نویسندگان
Raluca M. Balan, Ciprian A. Tudor,