On an Analogue of the Riemann-Hilbert Problem for a Non-linear Perturbation of the Cauchy-Riemann Operator

被引：0

作者：

Cherepanova, Yulia L. ^{[1
]}

Shlapunov, Alexander A. ^{[1
]}

机构：

[1] Siberian Fed Univ, Inst Math & Comp Sci, Svobodny 79, Krasnoyarsk 660041, Russia

来源：

JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS | 2016年 / 9卷 / 04期

关键词：

the Cauchy-Riemann operator; non-linear Riemann-Hilbert problem;

D O I：

10.17516/1997-1397-2016-9-4-427-431

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a non-linear perturbation of a famous Riemann-Hilbert problem on the recovering of a holomorphic function in a domain via its real part on the boundary. We get an information on the local structure of the solutions and give sufficient conditions for their real analyticity. A simple instructive example is considered.

引用

页码：427 / 431

页数：5

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