4.5 Article

Global attractors of generic reaction diffusion equations under Lipschitz perturbations

Journal

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2023.127534

Keywords

Global attractors; Gromov-Hausdorff distance; Lipschitz perturbations; Reaction diffusion equations; Stability

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In this paper, we prove that the dynamical system induced by a reaction diffusion equation is generically Gromov-Hausdorff stable on its global attractor under Lipschitz perturbations of the domain and equation.
In this paper we prove that generically the dynamical system induced by a reaction diffusion equation is Gromov-Hausdorff stable on its global attractor under Lipschitz perturbations of the domain and equation. (c) 2023 Elsevier Inc. All rights reserved.

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