Regularity of the attractor for a coupled Klein-Gordon-Schrödinger system with cubic nonlinearities in \(\mathbb{R}^2\) (Q2339851)

From the abstract: ``we prove the existence of a global attractor to dissipative Klein-Gordon-Schrödinger (KGS) system with cubic nonlinearities in \(H^1(\mathbb{R}^2)\times H^1(\mathbb{R}^2)\times L^2(\mathbb{R}^2)\) and more particularly that this attractor is in fact a compact set of \(H^2(\mathbb{R}^2) \times H^2(\mathbb{R}^2) \times H^1(\mathbb{R}^2)\).''