Attractors for the Klein-Gordon-Schrodinger equation.

Deals with the asymptotic behavior of solutions for the Klein-Gordon-Schrodinger equation. Proof for the existence of compact global attractors for the model in the space for each integer; Establishment of the continuity property of the solutions on initial data; Asymptotic compactness of solutions for each integer; Difficulty in obtaining the compactness for weakly dissipative equation.