On unique solvability of one nonlinear nonlocal with respect to the solution gradient nonstationary problem

dc.contributor.author	Ivanova A.
dc.contributor.author	Pavlova M.
dc.date.accessioned	2018-09-19T20:55:49Z
dc.date.available	2018-09-19T20:55:49Z
dc.date.issued	2017
dc.identifier.issn	1066-369X
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/143432
dc.description.abstract	© 2017, Allerton Press, Inc.We consider a parabolic equation whose space operator is a product of a nonlinear bounded function which depends on a nonlocal characteristic with respect to a solution gradient and a strongly monotone potential operator. We prove the existence and uniqueness of the solution in the class of the vector-valued functions with values in the Sobolev space.
dc.relation.ispartofseries	Russian Mathematics
dc.subject	generalized solution
dc.subject	nonlocal operator
dc.subject	parabolic equation
dc.subject	solvability
dc.subject	strongly monotone operator
dc.subject	uniqueness
dc.title	On unique solvability of one nonlinear nonlocal with respect to the solution gradient nonstationary problem
dc.type	Article
dc.relation.ispartofseries-issue	3
dc.relation.ispartofseries-volume	61
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	67
dc.source.id	SCOPUS1066369X-2017-61-3-SID85014784218

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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.