Uniform exponential attractors for first order non-autonomous lattice dynamical systems

AbstractIn Abdallah (2008, 2009) [2,3], we have investigated the existence of exponential attractors for first and second order autonomous lattice dynamical systems. Within this work, in l2, we carefully study the existence of a uniform exponential attractor for the family of processes associated with an abstract family of first order non-autonomous lattice dynamical systems with quasiperiodic symbols acting on a closed bounded set