The Riemann-Hilbert Problem for First Order Elliptic Systems on the Plane in the Hardy Space

被引：0

作者：

Soldatov, Alexandre ^{[1
,2
]}

机构：

[1] RAS, Moscow Ctr Fundamental & Appl Math, Moscow 119333, Russia

[2] RAS, Fed Res Ctr Comp Sci & Control, Moscow 119333, Russia

来源：

INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2020) | 2021年 / 2325卷

关键词：

D O I：

10.1063/5.0040860

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

The Riemann-Hilbert problem for the first order elliptic system is considered in the Hardy-Smirnov space. This system is reduced to an equivalent Fredhoim integral system on the boundary in the space L-p.

引用

页数：3

共 50 条

[1] On a generalized Riemann-Hilbert boundary value problem for second order elliptic systems in the plane
Akal, M
COMPLEX METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 1999, 6 : 41 - 55
[2] The discontinuous Riemann-Hilbert problem for elliptic complex equations of first order
Guo Chun Wen
Acta Mathematica Sinica, English Series, 2013, 29 : 2233 - 2244
[3] The Riemann–Hilbert problem in Hardy classes for general first-order elliptic systems
Klimentov S.B.
Russian Mathematics, 2016, 60 (6) : 29 - 39
[4] The Discontinuous Riemann-Hilbert Problem for Elliptic Complex Equations of First Order
Wen, Guo Chun
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2013, 29 (12) : 2233 - 2244
[5] ON THE RIEMANN-HILBERT PROBLEM FOR FIRST-ORDER ELLIPTIC-SYSTEMS IN MULTIPLY CONNECTED DOMAINS
SIRAZHUDINOV, MM
RUSSIAN ACADEMY OF SCIENCES SBORNIK MATHEMATICS, 1995, 80 (02) : 287 - 307
[6] Nonlinear Riemann-Hilbert Problem for the First Order Elliptic System with the General Form
Mingzhong (School of Sciences
"Journal of Shanghai University J", 1999, (02) : 11 - 15
[7] Nonlinear Riemann-Hilbert problem for the first order elliptic system with the general form
Li, MZ
3RD INTERNATIONAL CONFERENCE ON NONLINEAR MECHANICS, 1998, : 809 - 812
[8] Riemann–Hilbert Problem for First-Order Elliptic Systems with Constant Leading Coefficients on the Plane
Soldatov A.P.
Chernova O.V.
Journal of Mathematical Sciences, 2020, 250 (5) : 811 - 818
[9] THE RIEMANN-HILBERT PROBLEM FOR DEGENERATE ELLIPTIC COMPLEX EQUATIONS OF FIRST ORDER1
Tian, Feng
Wen, Guo-Chun
BOUNDARY VALUE PROBLEMS, INTEGRAL EQUATIONS AND RELATED PROBLEMS, 2011, : 72 - 81
[10] Nonlinear Riemann-Hilbert problems of first order quasilinear elliptic system
Li, MZ
PROCEEDINGS OF THE SECOND ISAAC CONGRESS, VOLS 1 AND 2, 2000, 7 : 145 - 151

← 1 2 3 4 5 →