Exponential Attractors for Lattice Dynamical Systems in Weighted Spaces.

The aim of this paper is to investigate the existence of exponential attractors for lattice reaction-diffusion systems in weighted spaces $l_{\sigma}^{2}$ and for partly dissipative lattice reaction-diffusion systems in weighted spaces $l_{\mu}^{2}\times l_{\mu}^{2}$, respectively. In contrast to the previous work by Abdallah in J. Math. Anal. Appl. 339, 217-224 () and Commun. Pure Appl. Anal. 8, 803-818 (), we get the existence of exponential attractors for lattice dynamical systems in the weak topology spaces. [ABSTRACT FROM AUTHOR]