On a Statement of the Boundary Value Problem for a Generalized Cauchy-Riemann Equation with Nonisolated Singularities in a Lower-Order Coefficient

被引：0

作者：

Rasulov, A. V. ^{[1
]}

Fedorov, Yu. S. ^{[1
]}

机构：

[1] Natl Res Univ Moscow Power Engn Inst, Moscow 111250, Russia

来源：

MATHEMATICAL NOTES | 2024年 / 116卷 / 1-2期

关键词：

generalized Cauchy-Riemann equation; singularity in a lower-order coefficient; Pompeiu-Vekua operator; Riemann-Hilbert problem; linear transmission problem; REPRESENTATION;

D O I：

10.1134/S0001434624070101

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper studies how the statement of boundary value problems for a generalized Cauchy-Riemann equation is affected by nonisolated singularities in a lower-order coefficient of the equation assuming that these singularities are pairwise disjoint and do not pass through the origin. It turns out that posing only a condition on the boundary of the domain is insufficient in such problems. Therefore, we consider a case combining elements of the Riemann-Hilbert problem on the boundary of the domain and a linear transmission problem on the circles supporting the singularities in the lower-order coefficient inside the domain.

引用

页码：119 / 129

页数：11

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