No abstract

No abstract

No abstract

No abstract

No abstract

We study a reaction-fractional diffusion equation with additive noise on the entire space R n with particular interest in the asymptotic behavior of solutions. We first transform the equation into a random equation whose solutions generate a random dynamical system. A priori estimates for solutions are derived when the nonlinearity satisfies certain growth conditions. Using estimates for far-field values of solutions and a cutoff technique, asymptotic compactness is proved. Thus, the existence of a random attractor in L 2 (R n) is established.

No abstract

No abstract