Riemann boundary value problem on nonrectifiable curves for certain Beltrami equations

dc.date.accessioned	2019-01-22T20:35:47Z
dc.date.available	2019-01-22T20:35:47Z
dc.date.issued	2018
dc.identifier.issn	0170-4214
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/147885
dc.description.abstract	Copyright © 2018 John Wiley & Sons, Ltd. In this paper, we obtain a Cauchy-type integral representation to solve certain Beltrami equations and apply it for research of the Riemann boundary value problem for that equations on nonrectifiable contours. While more or less studied for piecewise smooth contours, for the case of nonrectifiable curve, this is a pioneer result. There is only one relatively simple type of Beltrami equation that is solved under such condition (see below). Our next goal is to achieve solutions for more types of the Beltrami equations on nonrectifiable curves.
dc.relation.ispartofseries	Mathematical Methods in the Applied Sciences
dc.subject	Beltrami equation
dc.subject	Marcinkiewicz exponent
dc.subject	nonrectifiable curve
dc.title	Riemann boundary value problem on nonrectifiable curves for certain Beltrami equations
dc.type	Article
dc.relation.ispartofseries-issue	6
dc.relation.ispartofseries-volume	41
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	2507
dc.source.id	SCOPUS01704214-2018-41-6-SID85044083352

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Публикации сотрудников КФУ Scopus [24551]
Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.