Asymptotic behavior of non-autonomous fractional stochastic reaction-diffusion equations

作者：Wang, Bixiang^*

来源：Nonlinear Analysis-Theory Methods & Applications, 2017, 158: 60-82.

DOI：10.1016/j.na.2017.04.006

• Random attractor
• Fractional Laplacian
• Stochastic equation
• Non-autonomous equation
• Upper semicontinuity

We first apply the Galerkin method to prove the existence and uniqueness of solutions for a class of non-autonomous fractional reaction diffusion equations driven by multiplicative noise. We then establish the existence and uniqueness of tempered pullback random attractors for the equations in an appropriate Hilbert space. The upper semicontinuity of random attractors is also obtained when the intensity of noise approaches zero.

• 出版日期2017-7