Article ID Journal Published Year Pages File Type
4618826 Journal of Mathematical Analysis and Applications 2010 13 Pages PDF
Abstract

In this paper, we consider the stochastic Burgers' equation driven by a genuine cylindrical fractional Brownian motion with Hurst parameter . We first prove the regularities of the solution to the linear stochastic problem corresponding to the stochastic Burgers' equation. Then we obtain the local and global existence and uniqueness results for the stochastic Burgers' equation.

Related Topics
Physical Sciences and Engineering Mathematics Analysis