Abstract

AbstractIn this chapter, we use the Gromov-Hausdorff distances between two global attractors (that 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 a reaction-diffusion equation under perturbations of the domain. The novelty of the method is that one compares any two systems in different phase spaces without the need to “pull-back” the perturbed systems to the original domain.

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