Abstract

In this paper, we use the Gromov-Hausdorff distances between two global attractors (which belong to disjoint phase spaces) and two dynamical systems to consider the continuous dependence of the global attractors and the stability of the dynamical systems on global attractors induced by the reaction diffusion equation under perturbations of the domain. The novelty of the paper is to compare any two systems in different phase spaces without the process of “pull-backing” the perturbed systems to the original domain.

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