Gümüşhane ÜniversitesiGümüşhane ÜniversitesiAçık Erişim Arşivi · RDL Open

Stability estimates for solution of Bitsadze-Samarskii type inverse elliptic problem with Dirichlet conditions

BildiriYalnız künye

Özet

In this study, we discuss well-posedness of Bitsadze-Samarskii type inverse elliptic problem with Dirichlet conditions. We establish abstract results on stability and coercive stability estimates for the solution of this inverse problem. Then, the abstract results are applied to three overdetermined problems for the multi-dimensional elliptic equation with different boundary conditions. Stability inequalities for solutions of these applications are obtained.

Anahtar Kelimeler

Coercive stabilityDifference schemeElliptic problemOverdeterminationStability
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/14995Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1063/1.4959743Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorAshyralyyev, Charyyar
dc.contributor.authorAkyüz, Gulzipa
dc.contributor.editorLukashov, A.
dc.contributor.editorAshyralyev, A.
dc.date.accessioned2026-10-22T10:23:25.953025635Z
dc.date.available2026-10-22T10:23:25.953025635Z
dc.date.issued2016
dc.description.abstractIn this study, we discuss well-posedness of Bitsadze-Samarskii type inverse elliptic problem with Dirichlet conditions. We establish abstract results on stability and coercive stability estimates for the solution of this inverse problem. Then, the abstract results are applied to three overdetermined problems for the multi-dimensional elliptic equation with different boundary conditions. Stability inequalities for solutions of these applications are obtained.
dc.identifier.articlenumber020129
dc.identifier.doi10.1063/1.4959743
dc.identifier.isbn978-073541417-4
dc.identifier.issn0094-243X
dc.identifier.scopus2-s2.0-85000415192
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/14995
dc.identifier.volume1759
dc.identifier.wosWOS:000383223000126
dc.language.isoen
dc.publisherAmerican Institute of Physics Inc.
dc.relation.conference3rd International Conference on Analysis and Applied Mathematics, ICAAM 2016
dc.relation.ispartofAIP Conference Proceedings
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectCoercive stability
dc.subjectDifference scheme
dc.subjectElliptic problem
dc.subjectOverdetermination
dc.subjectStability
dc.subject.classificationMathematics, Applied
dc.subject.classificationPhysics, Applied
dc.subject.classificationMathematics
dc.subject.classificationPhysics
dc.subject.otherAPPROXIMATION
dc.subject.otherEQUATION
dc.titleStability estimates for solution of Bitsadze-Samarskii type inverse elliptic problem with Dirichlet conditions
dc.typeConference Object
dspace.entity.typePublication
rdl.citation.openalex3
rdl.citation.scopus4
rdl.citation.wos4
rdl.conference.date7 September 2016 through 10 September 2016
rdl.conference.placeAlmaty
rdl.oa.statusclosed
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexConference Proceedings Citation Index - Science (CPCI-S)