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

MakaleAçık Erişim

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
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
dspace.entity.typePublication
rdl.citation.openalex63
rdl.citation.scopus67
rdl.citation.wos58
rdl.oa.statusgold
rdl.oa.urlhttps://doi.org/10.15388/na.2014.3.3
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)