An over-determined boundary problem for the Helmholtz equation in a semiinfinite domain with a curvilinear boundary

dc.contributor.author	Tumakov D.
dc.date.accessioned	2018-09-18T20:16:41Z
dc.date.available	2018-09-18T20:16:41Z
dc.date.issued	2010
dc.identifier.issn	1066-369X
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/138215
dc.description.abstract	In this paper we consider an over-determined Cauchy problem for the Helmholtz equation in a semiinfinite domain with a piecewise smooth curvilinear boundary. Applying the Fourier transform method in the space of distributions of slow growth, we establish the necessary and sufficient solvability conditions which connect the boundary functions. We construct integral representations of a solution. © 2010 Allerton Press, Inc.
dc.relation.ispartofseries	Russian Mathematics
dc.subject	Fourier transform
dc.subject	Helmholtz equation
dc.subject	Over-determined Cauchy problem
dc.subject	Space of distributions of slow growth
dc.title	An over-determined boundary problem for the Helmholtz equation in a semiinfinite domain with a curvilinear boundary
dc.type	Article
dc.relation.ispartofseries-issue	2
dc.relation.ispartofseries-volume	54
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	66
dc.source.id	SCOPUS1066369X-2010-54-2-SID78649543396

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