On the Riemann–Hilbert problem for the Beltrami equations in quasidisks

被引：0

作者：

Efimushkin A.S. ^{[1
]}

Ryazanov V.I. ^{[1
]}

机构：

[1] Institute of Applied Mathematics and Mechanics of the NAS of Ukraine, Slavyansk

来源：

Journal of Mathematical Sciences | 2015年 / 211卷 / 5期

关键词：

Beltrami equations; logarithmic capacity; quasiconformal curves; quasidisks; Riemann–Hilbert problem;

D O I：

10.1007/s10958-015-2621-0

中图分类号：

学科分类号：

摘要：

For the nondegenerate Beltrami equations in the quasidisks and, in particular, in smooth Jordan domains, we prove the existence of regular solutions of the Riemann–Hilbert problem with coefficients of bounded variation and boundary data that are measurable with respect to the absolute harmonic measure (logarithmic capacity). © 2015, Springer Science+Business Media New York.

引用

页码：646 / 659

页数：13

共 50 条

[31] The Tacnode Riemann–Hilbert Problem
Arno Kuijlaars
Constructive Approximation, 2014, 39 : 197 - 222
[32] ON THE HILBERT-RIEMANN PROBLEM
MEBKHOUT, Z
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1980, 290 (09): : 415 - 417
[33] ON HILBERT BOUNDARY VALUE PROBLEM FOR BELTRAMI EQUATION
Gutlyanskii, Vladimir
Ryazanov, Vladimir
Yakubov, Eduard
Yefimushkin, Artyem
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2020, 45 : 957 - 973
[34] Riemann mapping theorems for Beltrami equations by circle packings
Lan, SY
Dai, DQ
PACIFIC JOURNAL OF MATHEMATICS, 2004, 217 (01) : 139 - 147
[35] The discontinuous Riemann-Hilbert problem for elliptic complex equations of first order
Guo Chun Wen
Acta Mathematica Sinica, English Series, 2013, 29 : 2233 - 2244
[36] Connection matrices and Riemann-Hilbert problem for Q-difference equations
Aomoto, K
NEW DEVELOPMENTS IN DIFFERENCE EQUATIONS AND APPLICATIONS, 1999, : 7 - 15
[37] Isomonodromy Aspects of the tt* Equations of Cecotti and Vafa II: Riemann–Hilbert Problem
Martin A. Guest
Alexander R. Its
Chang-Shou Lin
Communications in Mathematical Physics, 2015, 336 : 337 - 380
[38] THE RIEMANN-HILBERT BOUNDARY-VALUE PROBLEM FOR SEMILINEAR PSEUDOPARABOLIC EQUATIONS
DAI, DQ
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1994, 23 (06) : 785 - 796
[39] The Riemann-Hilbert problem for degenerate elliptic complex equations and its application
Wen, Guochun
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2014, 59 (08) : 1156 - 1168
[40] THE RIEMANN-HILBERT PROBLEM FOR FINITE RIEMANN SURFACES
KOPPELMAN, W
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1959, 12 (01) : 13 - 35

← 1 2 3 4 5 →