INVERSE PROBLEM FOR A DISSIPATIVE HYPERBOLIC EQUATION WITH DISCONTINUOUS COEFFICIENTS

被引：39

作者：

KRUEGER, RJ ^{[1
]}

机构：

[1] UNIV NEBRASKA,LINCOLN,NB 68508

来源：

QUARTERLY OF APPLIED MATHEMATICS | 1976年 / 34卷 / 02期

关键词：

D O I：

10.1090/qam/481676

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A slab of width L situated between the planes z equals 0 and z equals L, with conductivity sigma (z) and permittivity epsilon (z) is considered. Outside of the slab, it is assumed sigma equals 0, epsilon equals epsilon //0. The conductivity and permittivity of the slab are unknown, and a method is sought for determining these functions by measuring electromagnetic waves scattered from the slab. The problem is solved by generalizing results obtained by V. H. Weston concerning the inverse problem for a particular type of hyperbolic partial differential equation.

引用

页码：129 / 147

页数：19

共 10 条

[1]

COURANT R, 1962, METHODS MATHEMATICAL, V2

[2]

HEIM DS, 1967, IEEE T CIRCUIT THEOR, V15, P394

[3] THE INVERSE SCATTERING PROBLEM WHEN THE REFLECTION COEFFICIENT IS A RATIONAL FUNCTION [J].