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Uniform attractors for non-autonomous Klein-Gordon-Schrödinger lattice systems
Authors:HUANG Jin-Wu  HAN Xiao-Ying  ZHOU Sheng-Fan
Affiliation:1. Department of Applied Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China;2. Department of Mathematics and Statistics, Auburn University, Auburn, Alabama 36849, United States of America
Abstract:The existence of a compact uniform attractor for a family of processes corresponding to the dissipative non-autonomous Klein-Gordon-Schrödinger lattice dynamical system is proved. An upper bound of the Kolmogorov entropy of the compact uniform attractor is obtained, and an upper semicontinuity of the compact uniform attractor is established.
Keywords:compact uniform attractor  non-autonomous  Klein-Gordon-Schrö  dinger lattice system  Kolmogorov entropy  supper semicontinuity
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