| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Campus Sao Carlos, Caixa Postal 668, Sao Carlos, SP - Brazil
Total Affiliations: 1
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| Document type: | Journal article |
| Source: | Journal of Differential Equations; v. 300, p. 312-336, NOV 5 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
In this work, we present results on stability and hyperbolicity of equilibria for a scalar nonlocal onedimensional quasilinear parabolic problem. We show that this nonlocal version of the well-known ChafeeInfante equation bears some resemblance with the local version. However, its nonlocal characteristic requires a fine analysis of the spectrum of the associated linear operators, a lot more elaborated than the local case. The saddle point property of equilibria is shown to hold for this quasilinear model. (c) 2021 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 20/00104-4 - Comparison results between solutions of autonomous and non-autonomous problems: an investigation about existence of non-autonomos equilibria |
| Grantee: | Estefani Moraes Moreira |
| Support Opportunities: | Scholarships abroad - Research Internship - Doctorate |
| FAPESP's process: | 18/00065-9 - Gradient structure of skew product semiflows |
| Grantee: | Estefani Moraes Moreira |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| FAPESP's process: | 18/10997-6 - Robustness of attractors under autonomous or non-autonomous perturbatinos: Structural Stability |
| Grantee: | Alexandre Nolasco de Carvalho |
| Support Opportunities: | Scholarships abroad - Research |