Key points are not available for this paper at this time.
This paper is concerned with the nonlinear pseudo-parabolic equation with fading memory. First, we prove the existence, uniqueness and continuous dependence of weak solutions when ρ and f have polynomial growth of critical order. Then, we establish the existence and optimal regularity of the global attractor. The result extends and improves some existing results.
Peng et al. (Wed,) studied this question.