کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1155680 958757 2012 32 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An LpLp-theory of a class of stochastic equations with the random fractional Laplacian driven by Lévy processes
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
An LpLp-theory of a class of stochastic equations with the random fractional Laplacian driven by Lévy processes
چکیده انگلیسی

In this paper we study some linear and quasi-linear stochastic equations with the random fractional Laplacian operator driven by arbitrary Lévy processes. The driving noise can be space–time in the case of one dimensional spacial variable. We prove uniqueness and existence of such equations in Sobolev spaces. Out results cover the case when the driving noise is a space–time white noise.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Stochastic Processes and their Applications - Volume 122, Issue 12, December 2012, Pages 3921–3952
نویسندگان
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