ANALYSIS OF THE GREEN-FUNCTION APPROACH TO ONE-DIMENSIONAL INVERSE PROBLEMS .1. ONE-PARAMETER RECONSTRUCTION

被引：7

作者：

HE, SL ^{[1
]}

KABANIKHIN, SI ^{[1
]}

ROMANOV, VG ^{[1
]}

STROM, S ^{[1
]}

机构：

[1] NOVOSIBIRSK MATH INST,NOVOSIBIRSK 630090,RUSSIA

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1993年 / 34卷 / 12期

关键词：

D O I：

10.1063/1.530279

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

An analysis of a Green's function approach (based on wave splitting) to the one-dimensional electromagnetic inverse problem is given. The Green's functions refer to split components of the fundamental solution. The linear system of equations for the Green's functions is shown to be well-posed for the inverse problem and stability estimates, theorems on existence, uniqueness, local correctness, and convergence are given.

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页码：5724 / 5746

页数：23

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