Dynamics of Fractional Reaction-diffusion Equations with Singular Terms
The existence of random attractors in space L2(O)for fractional non-autonomous stochastic reaction-diffusion equations with additive noise and singular perturbations defined on smooth bounded domain O⊂Rn is discussed.Because of the interaction between singular term and fractional Laplace operator,the solution cannot be estimated on regular spaces,so the compactness of solution in spaces L2(O)cannot be obtained by Sobolev compact embedding.So Aubin compactness theorem is used to overcome the difficulty.
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