Transmission eigenvalues for degenerate and singular cases

被引：10

作者：

Serov, Valery ^{[1
]}

Sylvester, John ^{[2
]}

机构：

[1] Univ Oulu, Dept Math Sci, FIN-90014 Oulu, Finland

[2] Univ Washington, Dept Math, Seattle, WA 98195 USA

来源：

INVERSE PROBLEMS | 2012年 / 28卷 / 06期

基金：

美国国家科学基金会; 芬兰科学院;

关键词：

SPHERICALLY SYMMETRICAL SPEED; INVERSE SCATTERING; ACOUSTIC-WAVES;

D O I：

10.1088/0266-5611/28/6/065004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Transmission eigenvalues are the squares of wavenumbers, at which some time harmonic incident wave produces no scattered wave. For the scalar Helmholtz equation, we prove the existence of infinitely many real interior transmission eigenvalues for positive contrasts that are bounded above and below by a power of the distance to the boundary. We also give a lower bound for the counting function.

引用

收藏

页数：8

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