We consider the existence of the global attractor for the 3D weakly damped wave equation. We prove that is compact in and attracts all bounded subsets of with respect to the norm of . Furthermore, this attractor coincides with the global attractor in the weak energy space .
"Strong Global Attractors for 3D Wave Equations with Weakly Damping." Abstr. Appl. Anal. 2012 (SI11) 1 - 12, 2012. https://doi.org/10.1155/2012/469382