Abstract:

This note discusses the long time behavior of solutions for nonautonomous weakly dissipative Klein-Gordon-Schrödinger equations with homogeneous Dirichlet boundary condition. The authors prove the existence of compact kernel sections for the associated process by using a suitable decomposition of the equations.

Key words: Nonautonomous Klein-Gordon-Schrö, dinger equations, kernel sections, weakly dissipation, uniformly asymptotic compactness