Global Attractor and its Dimension for a Klein–Gordon–Schrödinger System

Global attractor for a system of Klein–Gordon–Schrödinger type in all R

“…These results were extended by the authors to the more realistic driven case system (1.1)-(1.3) (see, [6]), where the driving terms f , g ∈ L 2 (Ω). The existence of a global attractor was derived in the space (H 1 0 (Ω)∩H 2 (Ω)) 2 ×H 1 0 (Ω), which attracts all bounded sets of (H 1 0 (Ω)∩H 2 (Ω)) 2 ×H 1 0 (Ω)…”