Inverse Source Problem for Heat Equation with Nonlocal Wentzell Boundary Condition

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dc.contributor.authorIsmailov, Mansur I.
dc.date.accessioned2025-10-29T11:33:23Z
dc.date.issued2018
dc.departmentFakülteler, Temel Bilimler Fakültesi, Matematik Bölümü
dc.description.abstractThe inverse source problem for one-dimensional heat equation is investigated with nonlocal Wentzell-Neumann boundary and integral overdetermination conditions. The generalized Fourier method is used to show the existence, uniqueness and stability of the classical solution under some regularity, consistency and orthogonality conditions on the data. The considered inverse problem gives an idea of how total energy might be externally controlled.
dc.identifier.doi10.1007/s00025-018-0829-2
dc.identifier.issn1422-6383
dc.identifier.issn1420-9012
dc.identifier.issue2
dc.identifier.orcid0000-0002-5392-2944
dc.identifier.scopus2-s2.0-85045932518
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1007/s00025-018-0829-2
dc.identifier.urihttps://hdl.handle.net/20.500.14854/12384
dc.identifier.volume73
dc.identifier.wosWOS:000434419100019
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorIsmailov, Mansur I.
dc.language.isoen
dc.publisherSpringer Basel Ag
dc.relation.ispartofResults in Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20251020
dc.subjectHeat equation
dc.subjectinitial-boundary value problem
dc.subjectinverse source problem
dc.subjectWentzell-Neumann boundary condition
dc.subjectgeneralized Fourier method
dc.titleInverse Source Problem for Heat Equation with Nonlocal Wentzell Boundary Condition
dc.typeArticle

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