Lateral overdetermination of the FitzHugh-Nagumo system

被引：8

作者：

Cox, S ^{[1
]}

Wagner, A

机构：

[1] Rice Univ, Houston, TX 77005 USA

[2] Rhein Westfal TH Aachen, Inst Math, Aachen, Germany

来源：

INVERSE PROBLEMS | 2004年 / 20卷 / 05期

关键词：

FitzHugh -Nagumo systems - Heat equations - Membrane conductance - Nonlinear conductance;

D O I：

10.1088/0266-5611/20/5/019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The FitzHugh-Nagumo system, composed of a semilinear parabolic equation coupled to a linear ordinary equation, captures the qualitative dynamics of an excitable fibre. The semilinear term encodes the fibre's nonlinear membrane conductance that underlies its excitability. We here establish conditions under which a semilinear term exists that corresponds to specified Neumann data at each end and Dirichlet data at one end.

引用

页码：1639 / 1647

页数：9

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