Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1156470 | Stochastic Processes and their Applications | 2014 | 17 Pages |
Abstract
In this work we provide a stochastic representation for a class of semi-linear stochastic fractal equations, and prove the existence and uniqueness of WÏ1,p-solutions to stochastic fractal equations by using purely probabilistic argument, where Ï is a suitable weighted function, and WÏ1,p is the associated first order weighted Sobolev space.
Keywords
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Yingchao Xie, Qi Zhang, Xicheng Zhang,