Lee, Jihoon and Pires, Leonardo (2023) Structural stability for scalar reaction-diffusion equations. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2023 (54). pp. 1-12. ISSN 1417-3875
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Abstract
In this paper, we prove the structural stability for a family of scalar reactiondiffusion equations. Our arguments consist of using invariant manifold theorem to reduce the problem to a finite dimension and then, we use the structural stability of Morse–Smale flows in a finite dimension to obtain the corresponding result in infinite dimension. As a consequence, we obtain the optimal rate of convergence of the attractors and estimate the Gromov–Hausdorff distance of the attractors using continuous ε-isometries.
| Item Type: | Article |
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| Uncontrolled Keywords: | Morse–Smale semiflows, rate of convergence of attractors, structural stability, invariant manifolds, Gromov–Hausdorff distance |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| Depositing User: | Kotegelt Import |
| Date Deposited: | 18 Jan 2024 09:45 |
| Last Modified: | 02 Apr 2024 07:21 |
| URI: | https://real.mtak.hu/id/eprint/185188 |
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