THE INTERIOR TRANSMISSION PROBLEM FOR REGIONS WITH CAVITIES

被引：48

作者：

Cakoni, Fioralba ^{[2
]}

Colton, David ^{[2
]}

Haddar, Houssem ^{[1
]}

机构：

[1] Ecole Polytech, INRIA Saclay Ile France, CMAP, F-91128 Palaiseau, France

[2] Univ Delaware, Dept Math Sci, Newark, DE 19716 USA

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2010年 / 42卷 / 01期

关键词：

inhomogeneous medium; interior transmission problem; inverse scattering; transmission eigenvalues; INVERSE SCATTERING;

D O I：

10.1137/090754637

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the interior transmission problem in the case when the inhomogeneous medium has cavities, i.e., regions in which the index of refraction is the same as the host medium. In this case we establish the Fredholm property for this problem and show that transmission eigenvalues exist and form a discrete set. We also derive Faber-Krahn-type inequalities for the transmission eigenvalues.

引用

页码：145 / 162

页数：18

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