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摘要
We consider the existence of the global attractor A(1) for the 3D weakly damped wave equation. We prove that A(1) is compact in (H-2(Omega) boolean AND H-0(1)(Omega)) x H-0(1)(Omega) and attracts all bounded subsets of (H-2(Omega) boolean AND H-0(1) (Omega)) x H-0(1) (Omega) with respect to the norm of (H-2(Omega) boolean AND H-0(1)(Omega)) x H-0(1)(Omega). Furthermore, this attractor coincides with the global attractor in the weak energy space H-0(1)(Omega) x L-2(Omega).
