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On the problem of determining the parameter of an elliptic equation in a banach space

MakaleAçık ErişimScopus SJRQ3

Özet

The boundary value problem of determining the parameter of an elliptic equation -u(t) + Au(t) = f(t) + p (0 ≤ t ≤ T), u(0) = φ, u(T) = ψ u(λ) = ξ 0 < λ < T, with a positive operator A in an arbitrary Banach space E is studied. The exact estimates are obtained for the solution of this problem in Hölder norms. Coercive stability estimates for the solution of boundary value problems for multi-dimensional elliptic equations are established.

Anahtar Kelimeler

Boundary value problemsElliptic equationsExact estimatesPositivityStability
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/15733Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.15388/na.2014.3.3Yayıncı resmi DOI adresi
İndeks kayıtları
ScopusScopusWeb of ScienceWeb of Science
Kaydın indeks veri tabanlarındaki sayfası (aktarımda alınan kayıt numarasıyla). Erişim, indeksin kendi koşullarına bağlıdır.
Atıflar
Scopus
67
WoS
58
OpenAlex
63
Her kaynağın kendi saydığı toplam atıf; aktarım ve zenginleştirme sırasında alındı.
Tam Kayıt
AlanDeğerDil
dc.contributor.authorAshyralyev, Allaberen
dc.contributor.authorAshyralyyev, Charyyar
dc.date.accessioned2026-10-22T10:24:27.716447849Z
dc.date.available2026-10-22T10:24:27.716447849Z
dc.date.issued2014
dc.description.abstractThe boundary value problem of determining the parameter of an elliptic equation -u(t) + Au(t) = f(t) + p (0 ≤ t ≤ T), u(0) = φ, u(T) = ψ u(λ) = ξ 0 < λ < T, with a positive operator A in an arbitrary Banach space E is studied. The exact estimates are obtained for the solution of this problem in Hölder norms. Coercive stability estimates for the solution of boundary value problems for multi-dimensional elliptic equations are established.
dc.identifier.doi10.15388/na.2014.3.3
dc.identifier.endpage366
dc.identifier.issn1392-5113
dc.identifier.issue3
dc.identifier.scopus2-s2.0-84903578055
dc.identifier.startpage350
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/15733
dc.identifier.volume19
dc.identifier.wosWOS:000343017800004
dc.language.isoen
dc.publisherVilnius University Press
dc.relation.ispartofNonlinear Analysis: Modelling and Control
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectBoundary value problems
dc.subjectElliptic equations
dc.subjectExact estimates
dc.subjectPositivity
dc.subjectStability
dc.subject.classificationMathematics, Applied
dc.subject.classificationMathematics, Interdisciplinary Applications
dc.subject.classificationMechanics
dc.subject.classificationMathematics
dc.subject.otherBOUNDARY-VALUE-PROBLEMS
dc.subject.otherWELL-POSEDNESS
dc.titleOn the problem of determining the parameter of an elliptic equation in a banach space
dc.typeArticle
rdl.citation.openalex63
rdl.citation.scopus67
rdl.citation.wos58
rdl.oa.statusgold
rdl.oa.urlhttps://doi.org/10.15388/na.2014.3.3
rdl.scopus.quartileQ3
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)