Exponential attractors for lattice dynamical systems in weighted
Xiaoying Han - Department of Mathematics and Statistics, Auburn University, Auburn, AL 36849, United States (email)
Abstract: We first present some sufficient conditions for the existence of exponential attractors for locally coupled lattice dynamical systems in weighted spaces of infinite sequences. Then we apply this result to discuss the existence of exponential attractors for first order lattice systems, partly dissipative lattice systems, and second order lattice systems in weighted spaces of infinite sequences.
Keywords: Exponential attractor, first order lattice system, partly
dissipative lattice system, second order lattice system, weighted space of infinite
Received: June 2010; Revised: February 2011; Published: June 2011.
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