Lower Semicontinuity of Pullback Attractors for a Non-autonomous Coupled System of Strongly Damped Wave Equations.

The aim of this paper is to study the robustness of the family of pullback attractors associated with a non-autonomous coupled system of strongly damped wave equations, which is a modified version of the well known Klein–Gordon–Zakharov system. Under appropriate hyperbolicity conditions, we establish the gradient-like structure of the limit pullback attractor associated with this evolution system, and we prove the continuity of the family of pullback attractors at zero. [ABSTRACT FROM AUTHOR]