HEARING THE SHAPE OF A GENERAL DOUBLY CONNECTED DOMAIN IN R3 WITH IMPEDANCE BOUNDARY-CONDITIONS

被引：15

作者：

ZAYED, EME ^{[1
]}

机构：

[1] ZAGAZIG UNIV,FAC SCI,DEPT MATH,ZAGAZIG,EGYPT

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1990年 / 31卷 / 10期

关键词：

D O I：

10.1063/1.528837

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The basic problem in this paper is that of determining the geometry of a general doubly connected domain in R3 together with an impedance condition on its inner bounding surface and another impedance condition on its outer bounding surface, from the complete knowledge of the eigenvalues {λj}j=1∝ for the three-dimensional Laplacian using the asymptotic expansion of the spectral function θ(t) = Σj=1∝, exp(-tλj) for small positive t. © 1990 American Institute of Physics.

引用

页码：2361 / 2365

页数：5