Inverse Boundary-Value Problems of Cauchy Type for Harmonic Functions

被引：0

作者：

Abubakirov, N. R. ^{[1
]}

Aksent'ev, L. A. ^{[1
]}

机构：

[1] Kazan Volga Reg Fed Univ, Ul Kremlyovskaya 18, Kazan 420008, Russia

来源：

RUSSIAN MATHEMATICS | 2012年 / 56卷 / 12期

关键词：

boundary-value problems for analytic functions; Cauchy problem; inverse boundary-value problems; harmonic functions;

D O I：

10.3103/S1066369X12120080

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We apply two methods for solving the inverse boundary-value problem (the so-called problem (A)) in the Cauchy statement for an analytic function and an unknown curve G. We obtain criteria for G to be the unit circle. We apply the proposed methods for solving a modified Hadamard example and generalize the obtained results for the case of doubly connected domains.

引用

页码：71 / 75

页数：5