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

Verfasser / Beitragende:
[Artem Efimushkin, Vladimir Ryazanov]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 211/5(2015-12-01), 646-659
Format:
Artikel (online)
ID: 605523436
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024 7 0 |a 10.1007/s10958-015-2621-0  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10958-015-2621-0 
245 0 0 |a On the Riemann-Hilbert problem for the Beltrami equations in quasidisks  |h [Elektronische Daten]  |c [Artem Efimushkin, Vladimir Ryazanov] 
520 3 |a 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). 
540 |a Springer Science+Business Media New York, 2015 
690 7 |a Riemann-Hilbert problem  |2 nationallicence 
690 7 |a Beltrami equations  |2 nationallicence 
690 7 |a quasidisks  |2 nationallicence 
690 7 |a quasiconformal curves  |2 nationallicence 
690 7 |a logarithmic capacity  |2 nationallicence 
700 1 |a Efimushkin  |D Artem  |u Institute of Applied Mathematics and Mechanics of the NAS of Ukraine, Slavyansk, Ukraine  |4 aut 
700 1 |a Ryazanov  |D Vladimir  |u Institute of Applied Mathematics and Mechanics of the NAS of Ukraine, Slavyansk, Ukraine  |4 aut 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 211/5(2015-12-01), 646-659  |x 1072-3374  |q 211:5<646  |1 2015  |2 211  |o 10958 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
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950 |B NATIONALLICENCE  |P 700  |E 1-  |a Efimushkin  |D Artem  |u Institute of Applied Mathematics and Mechanics of the NAS of Ukraine, Slavyansk, Ukraine  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Ryazanov  |D Vladimir  |u Institute of Applied Mathematics and Mechanics of the NAS of Ukraine, Slavyansk, Ukraine  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 211/5(2015-12-01), 646-659  |x 1072-3374  |q 211:5<646  |1 2015  |2 211  |o 10958