Article ID Journal Published Year Pages File Type
4621608 Journal of Mathematical Analysis and Applications 2008 8 Pages PDF
Abstract

In l2, we investigate the existence of an exponential attractor for the solution semigroup of a first-order lattice dynamical system acting on a closed bounded positively invariant set which needs not to be compact since l2 is infinite dimensional. Up to our knowledge, this is the first time to examine the existence of exponential attractors for lattice dynamical systems.

Related Topics
Physical Sciences and Engineering Mathematics Analysis