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A note on well-posedness of source identification elliptic problem in a Banach space; [Банах кеңiстiгiнде дереккөздi сәйкестендiруде эллипстiк есептiң корректiлiгi туралы ескерту]; [Замечание о корректности эллиптической задачи идентификации источника в банаховом пространстве]

MakaleAçık Erişim

Özet

We study the source identification problem for an elliptic differential equation in a Banach space. The exact estimates for the solution of source identification problem in Hölder norms are obtained. In applications, four elliptic source identification problems are investigated. Stability and coercive stability estimates for solution of source identification problems for elliptic equations are obtained.

Anahtar Kelimeler

boundary value problemcoercive stabilityelliptic equationsexact estimatespositivitysource identificationwell-posedness
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/14818Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.31489/2020m3/96-104Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorAshyralyev, A.
dc.contributor.authorAshyralyyev, C.
dc.contributor.authorZvyagin, V.G.
dc.date.accessioned2026-10-22T10:23:10.970212208Z
dc.date.available2026-10-22T10:23:10.970212208Z
dc.date.issued2020
dc.description.abstractWe study the source identification problem for an elliptic differential equation in a Banach space. The exact estimates for the solution of source identification problem in Hölder norms are obtained. In applications, four elliptic source identification problems are investigated. Stability and coercive stability estimates for solution of source identification problems for elliptic equations are obtained.
dc.description.sponsorshipRUDN University Program 5-100
dc.identifier.doi10.31489/2020m3/96-104
dc.identifier.endpage104
dc.identifier.issn2518-7929
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85153782083
dc.identifier.startpage96
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/14818
dc.identifier.volume99
dc.identifier.wosWOS:000580591000010
dc.language.isoen
dc.publisherE.A.Buketov Karaganda State University Publish House
dc.relation.conference5th International Conference on Analysis and Applied Mathematics (ICAAM)
dc.relation.ispartofBulletin of the Karaganda University. Mathematics Series
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectboundary value problem
dc.subjectcoercive stability
dc.subjectelliptic equations
dc.subjectexact estimates
dc.subjectpositivity
dc.subjectsource identification
dc.subjectwell-posedness
dc.subject.classificationMathematics
dc.subject.otherBOUNDARY-VALUE-PROBLEMS
dc.subject.otherEQUATION
dc.subject.otherINVERSE
dc.titleA note on well-posedness of source identification elliptic problem in a Banach space; [Банах кеңiстiгiнде дереккөздi сәйкестендiруде эллипстiк есептiң корректiлiгi туралы ескерту]; [Замечание о корректности эллиптической задачи идентификации источника в банаховом пространстве]
dc.typeArticle
dspace.entity.typePublication
rdl.citation.openalex1
rdl.citation.scopus0
rdl.citation.wos0
rdl.conference.dateSEP 23-30, 2020
rdl.conference.placeMersin, TURKEY
rdl.oa.statusgold
rdl.oa.urlhttps://doi.org/10.31489/2020m3/96-104
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexEmerging Sources Citation Index (ESCI)