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
收藏
页码：1639 / 1647
页数：9
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