INVERSE PROBLEMS OF IDENTIFYING THE TIME-DEPENDENT SOURCE COEFFICIENT FOR SUBELLIPTIC HEAT EQUATIONS

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dc.contributor.authorIsmailov, Mansur i.
dc.contributor.authorOzawa, Tohru
dc.contributor.authorSuragan, Durvudkhan
dc.date.accessioned2025-10-29T11:08:15Z
dc.date.issued2024
dc.departmentFakülteler, Temel Bilimler Fakültesi, Matematik Bölümü
dc.description.abstractWe discuss inverse problems of determining the time-dependent source coefficient for a general class of subelliptic heat equations. We show that a single data at an observation point guarantees the existence of a (smooth) solution pair for the inverse problem. Moreover, additional data at the observation point implies an explicit formula for the time-dependent source coefficient. We also explore an inverse problem with nonlocal additional data, which seems a new approach even in the Laplacian case.
dc.description.sponsorshipCommittee of Science of the Ministry of Science and Higher Education of Kazakhstan [BR21882172]
dc.description.sponsorshipNU grant [20122022FD4105]
dc.description.sponsorshipJSPS Kakenhi [18KK0073, 19H00644]
dc.description.sponsorshipThis research was funded by the Committee of Science of the Ministry of Science and HigherEducation of Kazakhstan (Grant number BR21882172). This work was also supported by the NU grant 20122022FD4105. The second author is supported in part by JSPS Kakenhi 18KK0073, 19H00644. No new data was collected or generated during the course of the research.
dc.identifier.doi10.3934/ipi.2023056
dc.identifier.endpage823
dc.identifier.issn1930-8337
dc.identifier.issn1930-8345
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85195184869
dc.identifier.scopusqualityQ1
dc.identifier.startpage813
dc.identifier.urihttps://doi.org/10.3934/ipi.2023056
dc.identifier.urihttps://hdl.handle.net/20.500.14854/5274
dc.identifier.volume18
dc.identifier.wosWOS:001134604100001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherAmer Inst Mathematical Sciences-Aims
dc.relation.ispartofInverse Problems and Imaging
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20251020
dc.subjectInverse problem
dc.subjectcontrol parameter
dc.subjectsubelliptic heat equation
dc.subjectHo center dot rmander vector field
dc.titleINVERSE PROBLEMS OF IDENTIFYING THE TIME-DEPENDENT SOURCE COEFFICIENT FOR SUBELLIPTIC HEAT EQUATIONS
dc.typeArticle

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