A remark on elliptic differential equations on manifold

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dc.contributor.authorAshyralyev, A.
dc.contributor.authorSozen, Y.
dc.contributor.authorHezenci, F.
dc.date.accessioned2021-12-01T18:50:48Z
dc.date.available2021-12-01T18:50:48Z
dc.date.issued2020
dc.department[Belirlenecek]en_US
dc.description5th International Conference on Analysis and Applied Mathematics (ICAAM) -- SEP 23-30, 2020 -- Mersin, TURKEYen_US
dc.description.abstractFor elliptic boundary value problems of nonlocal type in Euclidean space, the well posedness has been studied by several authors and it has been well understood. On the other hand, such kind of problems on manifolds have not been studied yet. Present article considers differential equations on smooth closed manifolds. It establishes the well posedness of nonlocal boundary value problems of elliptic type, namely Neumann-Bitsadze-Samarskii type nonlocal boundary value problem on manifolds and also Dirichlet-Bitsadze-Samarskii type nonlocal boundary value problem on manifolds, in Holder spaces. In addition, in various Holder norms, it establishes new coercivity inequalities for solutions of such elliptic nonlocal type boundary value problems on smooth manifolds.en_US
dc.description.sponsorshipNear E Univen_US
dc.description.sponsorshipRUDN University Program 5-100en_US
dc.description.sponsorshipThe publication has been prepared with the support of the RUDN University Program 5-100en_US
dc.identifier.doi10.31489/2020M3/75-85
dc.identifier.endpage85en_US
dc.identifier.issn2518-7929
dc.identifier.issue3en_US
dc.identifier.startpage75en_US
dc.identifier.urihttps://doi.org/10.31489/2020M3/75-85
dc.identifier.urihttps://hdl.handle.net/20.500.12684/10928
dc.identifier.volume99en_US
dc.identifier.wosWOS:000580591000008en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherKaraganda State Univen_US
dc.relation.ispartofBulletin Of The Karaganda University-Mathematicsen_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectdifferential equations on manifoldsen_US
dc.subjectwell-posednessen_US
dc.subjectself-adjoint positive definite operatoren_US
dc.subjectBoundary-Value-Problemsen_US
dc.subjectWell-Posednessen_US
dc.titleA remark on elliptic differential equations on manifolden_US
dc.typeConference Objecten_US

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