A minimization problem associated with elliptic system of FitzHugh-Nagumo

EN Dancer; S Yan

doi:10.1016/j.anihpc.2003.02.001

A minimization problem associated with elliptic system of FitzHugh-Nagumo

EN Dancer, S Yan

Mathematics

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36 Citations (Scopus)

Abstract

We consider a minimization problem associated with the elliptic systems of FitzHugh–Nagumo type and prove that the minimizer of this minimization problem has not only a boundary layer, but also may oscillate in a set of positive measure.

Original language	English
Pages (from-to)	237-253
Journal	Annales de l'Institut Henri Poincaré (C), Analyse Non Linéaire
Volume	21
Issue number	2
DOIs	https://doi.org/10.1016/j.anihpc.2003.02.001
Publication status	Published - 2004

Keywords

Ordinary Differential Equations, Difference Equations and Dynamical Systems

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10.1016/j.anihpc.2003.02.001

https://hdl.handle.net/1959.11/77

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title = "A minimization problem associated with elliptic system of FitzHugh-Nagumo",

abstract = "We consider a minimization problem associated with the elliptic systems of FitzHugh–Nagumo type and prove that the minimizer of this minimization problem has not only a boundary layer, but also may oscillate in a set of positive measure.",

keywords = "Ordinary Differential Equations, Difference Equations and Dynamical Systems",

author = "EN Dancer and S Yan",

year = "2004",

doi = "10.1016/j.anihpc.2003.02.001",

language = "English",

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AU - Yan, S

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AB - We consider a minimization problem associated with the elliptic systems of FitzHugh–Nagumo type and prove that the minimizer of this minimization problem has not only a boundary layer, but also may oscillate in a set of positive measure.

KW - Ordinary Differential Equations, Difference Equations and Dynamical Systems

UR - https://www.scopus.com/pages/publications/1642264843

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DO - 10.1016/j.anihpc.2003.02.001

M3 - Article

SN - 0294-1449

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JO - Annales de l'Institut Henri Poincaré (C), Analyse Non Linéaire

JF - Annales de l'Institut Henri Poincaré (C), Analyse Non Linéaire

IS - 2

ER -

A minimization problem associated with elliptic system of FitzHugh-Nagumo

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