Attractors for a class of perturbed nonclassical diffusion equations with memory

In this paper, using a new operator decomposition method (or framework), we establish the existence, regularity and upper semi-continuity of global attractors for a perturbed nonclassical diffusion equation with fading memory. It is worth noting that we get the same conclusion in [ 7 , 14 ] as the perturbed parameters \begin{document}$ \nu = 0 $\end{document} , but the nonlinearity \begin{document}$ f $\end{document} satisfies arbitrary polynomial growth condition rather than critical exponential growth condition.