Existence and uniqueness of solutions on bounded domains to a FitzHugh–Nagumo type elliptic system
Existence and uniqueness of solutions on bounded domains to a FitzHugh–Nagumo type elliptic system
复制标题
FitzHugh-Nagumo型椭圆系统有界域解的存在唯一性
DOI：
10.2140/pjm.2001.197.183
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发表时间：
2001
影响因子：
0.6
通讯作者：
G. Sweers
中科院分区：
文献类型：
--
作者：
C. Reinecke;G. Sweers
本文证明了一类由两个椭圆型偏微分方程耦合系统组成的半线性特征值问题边界层解的存在唯一性。虽然系统不是拟单调的，但存在向拟单调系统的变换。对于转换后的系统，我们可以并且将使用最大（横扫）原理参数来导出逐点估计。度参数完成唯一性证明。
In this paper we prove the existence and uniqueness of the boundary layer solution to a semilinear eigenvalue problem consisting of a coupled system of two elliptic partial differential equations. Although the system is not quasimonotone, there exists a transformation to a quasimonotone system. For the transformed system we may and will use maximum (sweeping) principle arguments to derive pointwise estimates. A degree argument completes the uniqueness proof.