On the regular solutions of the Riemann–Hilbert problem for the Beltrami equations

1Yefimushkin, AS
2Ryazanov, VI
1Institute of Mathematics of the NAS of Ukraine, Kyiv
2Institute of Applied Mathematics and Mechanics of the NAS of Ukraine, Sloviansk
Dopov. Nac. akad. nauk Ukr. 2014, 5:19-23
Section: Mathematics
Language: Russian

For the non-degenerate Beltrami equations in a unit disk, the existence of regular solutions of the Riemann–Hilbert problem with coefficients of bounded variation and almost continuous boundary data is proved.

Keywords: Beltrami equations, Riemann–Hilbert problem

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