Stochastic Burgersʹ equation driven by fractional Brownian motion

In this paper, we consider the stochastic Burgersʹ equation driven by a genuine cylindrical fractional Brownian motion with Hurst parameter H > 1 4 . We first prove the regularities of the solution to the linear stochastic problem corresponding to the stochastic Burgersʹ equation. Then we obtain the local and global existence and uniqueness results for the stochastic Burgersʹ equation.