On the Uniqueness of the Solution of the Inverse Coefficient Problem for the Helmholtz Equation in a Phaseless Spatially Nonoverdetermined Statement

被引：0

作者：

Kokurin, M. Yu. ^{[1
]}

机构：

[1] Mari State Univ, Yoshkar Ola 424001, Mari El, Russia

来源：

DIFFERENTIAL EQUATIONS | 2021年 / 57卷 / 09期

基金：

俄罗斯科学基金会;

关键词：

SCATTERING PROBLEMS; COMPLETENESS; PRODUCTS;

D O I：

10.1134/S0012266121090020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish the uniqueness of the solution of the inverse problem for the Helmholtz equation in which the refraction coefficient, which describes the properties of a bounded inhomogeneity in a wave medium, is sought. The initial data for determining the desired coefficient are the absolute values of the solutions corresponding to either point sources concentrated on a segment or spherically symmetric distributed sources with centers on the segment. The measurements of the wave field are carried out in a plane domain that does not meet the inhomogeneity localization area.

引用

页码：1136 / 1141

页数：6

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