CONTINUOUS DEPENDENCE OF THE TRANSMISSION EIGENVALUES IN ONE DIMENSION

被引：1
作者：
Zhang, Yalin [1 ]
Shi, Guoliang [1 ]
机构：
[1] Tianjin Univ, Dept Math, Tianjin 300072, Peoples R China
来源：
INVERSE PROBLEMS AND IMAGING | 2015年 / 9卷 / 01期
关键词：
Interior transmission problem; inhomogeneous medium; transmission eigenvalues; transmission eigenfunctions; continuous dependence; INHOMOGENEOUS-MEDIUM; EXISTENCE;
D O I：
10.3934/ipi.2015.9.273
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The transmission eigenvalue problem on the interval [a; b] is considered. We show that the isolated transmission eigenvalues are continuous functions of the coefficients of the problem and that the transmission eigenfunctions can be normalized so that they depend continuously on all coefficients in the uniform norm. Throughout this work, our results are established without assumptions on the sign of the contrasts.
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页码：273 / 287
页数：15
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