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

Mon, 11/04/2016 - 15:05
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Abstract: 

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).