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Published in 2021 at "Communications on Pure and Applied Analysis"
DOI: 10.3934/cpaa.2021020
Abstract: In this paper, we prove the continuity of global attractors and the Gromov-Hausdorff stability of reaction diffusion equations with Robin boundary conditions under perturbations of the domain and equation if every equilibrium of the unperturbed…
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Keywords:
reaction diffusion;
gromov hausdorff;
hausdorff stability;
diffusion equations ... See more keywords
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Published in 2021 at "Discrete and Continuous Dynamical Systems"
DOI: 10.3934/dcds.2020320
Abstract: We will extend the topological Gromov-Hausdorff stability [ 2 ] from homeomorphisms to finitely generated actions. We prove that if an action is expansive and has the shadowing property, then it is topologically GH-stable. From…
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Keywords:
gromov hausdorff;
hausdorff stability;
stability group;
group actions ... See more keywords