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https://hdl.handle.net/1959.11/5390| Title: | Peak solutions for an elliptic system of FitzHugh-Nagumo type | Contributor(s): | Dancer, Edward Norman (author); Yan, Shusen (author) | Publication Date: | 2003 | Handle Link: | https://hdl.handle.net/1959.11/5390 | 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: | 2036-2145 0391-173X |
Fields of Research (FoR) 2008: | 010109 Ordinary Differential Equations, Difference Equations and Dynamical Systems | Socio-Economic Objective (SEO) 2008: | 970101 Expanding Knowledge in the Mathematical Sciences | HERDC Category Description: | C1 Refereed Article in a Scholarly Journal | Publisher/associated links: | http://archive.numdam.org/ARCHIVE/ASNSP/ASNSP_2003_5_2_4/ASNSP_2003_5_2_4_679_0/ASNSP_2003_5_2_4_679_0.pdf |
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| Appears in Collections: | Journal Article |
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