Interior peak solutions for an elliptic system of FitzHugh-Nagumo type

Edward N Dancer; Shusen Yan

doi:10.1016/j.jde.2006.02.001

Interior peak solutions for an elliptic system of FitzHugh-Nagumo type

Edward N Dancer
, Shusen Yan

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

We consider the Dirichlet problem for an elliptic system of FitzHugh-Nagumo type. We prove that the problem has a solution with a sharp peak inside the domain.

Original language	English
Pages (from-to)	654-679
Journal	Journal of Differential Equations
Volume	229
Issue number	2
DOIs	https://doi.org/10.1016/j.jde.2006.02.001
Publication status	Published - 2006

Keywords

Mathematical Sciences

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10.1016/j.jde.2006.02.001

https://hdl.handle.net/1959.11/4418

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title = "Interior peak solutions for an elliptic system of FitzHugh-Nagumo type",

abstract = "We consider the Dirichlet problem for an elliptic system of FitzHugh-Nagumo type. We prove that the problem has a solution with a sharp peak inside the domain.",

keywords = "Mathematical Sciences",

author = "Dancer, \{Edward N\} and Shusen Yan",

year = "2006",

doi = "10.1016/j.jde.2006.02.001",

language = "English",

volume = "229",

pages = "654--679",

journal = "Journal of Differential Equations",

issn = "0022-0396",

publisher = "Academic Press",

number = "2",

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TY - JOUR

T1 - Interior peak solutions for an elliptic system of FitzHugh-Nagumo type

AU - Dancer, Edward N

AU - Yan, Shusen

PY - 2006

Y1 - 2006

N2 - We consider the Dirichlet problem for an elliptic system of FitzHugh-Nagumo type. We prove that the problem has a solution with a sharp peak inside the domain.

AB - We consider the Dirichlet problem for an elliptic system of FitzHugh-Nagumo type. We prove that the problem has a solution with a sharp peak inside the domain.

KW - Mathematical Sciences

U2 - 10.1016/j.jde.2006.02.001

DO - 10.1016/j.jde.2006.02.001

M3 - Article

SN - 0022-0396

VL - 229

SP - 654

EP - 679

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 2

ER -

Interior peak solutions for an elliptic system of FitzHugh-Nagumo type

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