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Well-posedness of Neumann-type elliptic overdetermined problem with integral condition

BildiriAçık Erişim

Özet

The current paper is devoted to overdetermined elliptic problem with integral condition for derivatives. This overde-termined problem is converted to auxiliary nonlocal boundary value problem (ANBVP) with integral boundary condition. Well-posedness of abstract problem is established. Then, obtained results are used to obtain stability inequalities for solution of three Neumann-type inverse elliptic problems with integral condition to multidimensional differential equation.

RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/15184Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1063/1.5049020Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorAshyralyyev, Charyyar
dc.contributor.authorÇay, Aysel
dc.contributor.editorAshyralyev, A.
dc.contributor.editorSadybekov, M.
dc.contributor.editorLukashov, A.
dc.date.accessioned2026-10-22T10:23:41.588455211Z
dc.date.available2026-10-22T10:23:41.588455211Z
dc.date.issued2018
dc.description.abstractThe current paper is devoted to overdetermined elliptic problem with integral condition for derivatives. This overde-termined problem is converted to auxiliary nonlocal boundary value problem (ANBVP) with integral boundary condition. Well-posedness of abstract problem is established. Then, obtained results are used to obtain stability inequalities for solution of three Neumann-type inverse elliptic problems with integral condition to multidimensional differential equation.
dc.identifier.articlenumber020026
dc.identifier.doi10.1063/1.5049020
dc.identifier.isbn978-073541713-7
dc.identifier.issn0094-243X
dc.identifier.scopus2-s2.0-85051942136
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/15184
dc.identifier.volume1997
dc.identifier.wosWOS:000443450700026
dc.language.isoen
dc.publisherAmerican Institute of Physics Inc.
dc.relation.conference4th International Conference on Analysis and Applied Mathematics, ICAAM 2018
dc.relation.ispartofAIP Conference Proceedings
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subject.classificationMathematics, Applied
dc.subject.classificationPhysics, Applied
dc.subject.classificationMathematics
dc.subject.classificationPhysics
dc.subject.otherINVERSE PROBLEMS
dc.subject.otherEQUATION
dc.subject.otherAPPROXIMATION
dc.titleWell-posedness of Neumann-type elliptic overdetermined problem with integral condition
dc.typeConference Object
dspace.entity.typePublication
rdl.citation.openalex16
rdl.citation.scopus14
rdl.citation.wos9
rdl.conference.date6 September 2018 through 9 September 2018
rdl.conference.placeMersin 10
rdl.oa.statusgreen
rdl.oa.statuspreprint
rdl.oa.urlhttp://acikerisim.gumushane.edu.tr/xmlui/bitstream/20.500.12440/1374/1/ABSTRACT_BOOK_ICAAM_2018_final_04-09-18_p061.pdf
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexConference Proceedings Citation Index - Science (CPCI-S)