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Under the assumption that  g(t) is translation bounded in , and using the method developed in [3], we prove the existence of pullback exponential attractors in  for nonlinear reaction diffusion equation with polynomial growth nonlinearity( is arbitrary).

journal of applied mathematics and physics

Pullback Exponential Attractors for Nonautonomous Reaction Diffusion Equations in H&lt;sub&gt;0&lt;/sub&gt;&lt;sup style=&quot;margin-left:-6px;&quot;&gt;1&lt;/sup&gt;