TRANSMISSION EIGENVALUES

被引：129
|
作者：
Paivarinta, Lassi [1 ]
Sylvester, John [2 ]
机构：
[1] Univ Helsinki, Dept Math & Stat, Helsinki, Finland
[2] Univ Washington, Dept Math, Seattle, WA 98195 USA
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2008年 / 40卷 / 02期
基金：
芬兰科学院;
关键词：
inverse scattering; Helmholtz equation; inverse problems; transmission eigenvalues;
D O I：
10.1137/070697525
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The scattering of a time-harmonic plane wave in an inhomogeneous medium is modeled by the scattering problem for the Helmholtz equation. A transmission eigenvalue is a wavenumber at which the scattering operator has a nontrivial kernel or cokernel. Because many sampling methods for locating scatterers succeed only at wavenumbers that are not transmission eigenvalues, they have been studied for some time. Nevertheless, the existence of transmission eigenvalues has previously been proved only for radial scatterers. In this paper, we prove existence for scatterers without radial symmetry.
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页码：738 / 753
页数：16
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