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Title: Peak solutions for an elliptic system of FitzHugh-Nagumo type
Contributor(s): Dancer, Edward Norman  (author); Yan, Shusen  (author)
Publication Date: 2003
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Abstract: The aim of this paper is to study the existence of various types of peak solutions for an elliptic system of FitzHugh-Nagumo type. We prove that the system has a single peak solution, which concentrates near the boundary of the domain. Under some extra assumptions, we also construct multi-peak solutions with all the peaks near the boundary, and a single peak solution with its peak near an interior point of the domain.
Publication Type: Journal Article
Source of Publication: Scuola Normale Superiore di Pisa. Annali. Classe di Scienze, v.II, p. 679-709
Publisher: Scuola Normale Superiore di Pisa
Place of Publication: Italy
ISSN: 0391-173X
Field of Research (FOR): 010109 Ordinary Differential Equations, Difference Equations and Dynamical Systems
Socio-Economic Outcome Codes: 970101 Expanding Knowledge in the Mathematical Sciences
HERDC Category Description: C1 Refereed Article in a Scholarly Journal
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