A new approach to investigation of Maxwell equations in spherical coordinates

dc.contributor.author	Pleshchinskii N.
dc.contributor.author	Tumakov D.
dc.date.accessioned	2018-09-18T20:34:47Z
dc.date.available	2018-09-18T20:34:47Z
dc.date.issued	2015
dc.identifier.issn	1995-0802
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/141339
dc.description.abstract	© 2015, Pleiades Publishing, Ltd. In this article general solution to the Maxwell equations in spherical coordinates is constructed. The method of expansion of unknown functions into series of spherical harmonics is used. It is shown that the exterior boundary value problems for the Maxwell equations have the unique oriented solutions, and the interior boundary value problems have non-trivial solutions in the case of resonance. Necessary and sufficient solvability conditions of over-determined boundary value problems for the Maxwell equations are found.
dc.relation.ispartofseries	Lobachevskii Journal of Mathematics
dc.subject	Maxwell set of equations
dc.subject	over-determined boundary value problem
dc.subject	spherical coordinates
dc.title	A new approach to investigation of Maxwell equations in spherical coordinates
dc.type	Article
dc.relation.ispartofseries-issue	1
dc.relation.ispartofseries-volume	36
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	15
dc.source.id	SCOPUS19950802-2015-36-1-SID84924977780

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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.