Higher-order Attractions For A Non-autonomous Reaction-diffusion Model With Dynamic Boundary Conditions

We investigate the dynamics of a non-autonomous reaction-diffusion model with dynamic boundary conditions. We show that, under the same assumptions, the known L2(Ω) x L2((?)Ω) pullback (?)-attractor indeed can attract in L2+δ(Ω)×L2+δ((?)Ω)-norm for any δ∈[0,∞).The assumptions on the external forcing terms are only some integrability conditions and the spatial dimension N in our paper can be arbitrary. These results are new even for the corresponding problems with Dirichlet or Neumann boundary conditions.