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Stability and hyperbolicity of equilibria for a scalar nonlocal one-dimensional quasilinear parabolic problem

Carvalho, Alexandre N. ; Moreira, Estefani M.

Journal of Differential Equations, 2021-11, Vol.300, p.312-336 [Periódico revisado por pares]

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Título:
Stability and hyperbolicity of equilibria for a scalar nonlocal one-dimensional quasilinear parabolic problem
Autor: Carvalho, Alexandre N. ; Moreira, Estefani M.
Assuntos: Hyperbolicity ; Nonlocal operator ; Quasilinear problem ; Spectral analysis
É parte de: Journal of Differential Equations, 2021-11, Vol.300, p.312-336
Descrição: In this work, we present results on stability and hyperbolicity of equilibria for a scalar nonlocal one-dimensional quasilinear parabolic problem. We show that this nonlocal version of the well-known Chafee-Infante 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.
Editor: Elsevier Inc
Idioma: Inglês

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