Abstract In this paper, we study the local uniformly upper semicontinuity of pullback attractors for a strongly damped wave equation. particular, under some proper assumptions, prove that attractor $\{A_{\varepsilon }(t)\}_{t\in \mathbb{R}}$ { A ? <mml:m...

Abstract If the semigroup is slowly non-dissipative, i.e., its solutions can diverge to infinity as time tends infinity, one still study dynamics via approach by unbounded attractors—the counterpart of classical notion global attractors. We continue development this theory started Chepyzhov and Goritskii (Unbounded attractors evolution equations. Advances in Soviet mathematics, American Mathema...