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arXiv · 1912.03064

Gromov-Hausdorff stability of inertial manifolds under perturbations of the domain and equation

Jihoon Lee·Ngocthach Nguyen
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Abstract

In this paper, we study the Gromov-Hausdorff stability and continuous dependence of the inertial manifolds under perturbations of the domain and equation. More precisely, we use the Gromov-Hausdorff distances between two inertial manifolds and two dynamical systems to consider the continuous dependence of the inertial manifolds and the stability of the dynamical systems on inertial manifolds induced by the reaction diffusion equations under perturbations of the domain and equation.

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Jihoon Lee, Ngocthach Nguyen. 2019-12-06. Gromov-Hausdorff stability of inertial manifolds under perturbations of the domain and equation. https://arxiv.org/abs/1912.03064

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