In this paper, we prove the existence of random attractors for a stochastic reaction-diffusion equation\nwith distribution derivatives on unbounded domains. The nonlinearity is dissipative for\nlarge values of the state and the stochastic nature of the equation appears spatially distributed\ntemporal white noise. The stochastic reaction-diffusion equation is recast as a continuous random\ndynamical system and asymptotic compactness for this demonstrated by using uniform estimates\nfar-field values of solutions. The results are new and appear to be optimal.
Loading....