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.
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页码：646 / 659
页数：13
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