Asymptotic Behavior of Parabolic Equations with Time Non-local Delay
This paper deals with the asymptotic behavior of parabolic equations with non-local delay in whole space under Dirichlet boundary conditions.The existence of the pullback absorption set is obtained by a priori estimation.By selecting a new type of truncation function and combining it with the method of tail term estimation,the difficulty of compactness verification is overcome,and the asymptotic compactness of the solution of the fractional reaction-diffusion equation with delay is obtained,and the existence of the pullback attractor in the whole space is also obtained.
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