dc.contributor.author
Serikbaev, D.
dc.contributor.author
Ruzhansky, M.
dc.contributor.author
Tokmagambetov, N.
dc.date.accessioned
2025-01-20T11:40:56Z
dc.date.available
2025-01-20T11:40:56Z
dc.date.issued
2024-08-15
dc.identifier.uri
http://hdl.handle.net/2072/480063
dc.description.abstract
In this paper, we consider the inverse problem of determining the time-dependent source term in the general setting of Hilbert spaces and for general additional data. We prove the well-posedness of this inverse problem by reducing the problem to an operator equation for the source function.
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dc.description.sponsorship
This research was funded by the Science Committee of the Ministry of Science and Higher Education of the Republic of Kazakhstan (grant no. AP22783101), the FWO Odysseus 1 grant G.0H94.18N: Analysis and Partial Differential Equations, and the Methusalem programme of the Ghent University Special Research Fund (BOF) (grant number 01M01021). MR is also supported by EPSRC grant EP/R003025/2. NT is also supported by the Beatriu de Pinos programme and by AGAUR (Generalitat de Catalunya) grant 2021 SGR 00087.
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dc.format.extent
32 p.
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dc.relation.ispartof
Mathematical Methods In The Applied Sciences
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dc.rights
Attribution-NonCommercial-NoDerivatives 4.0 International
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dc.rights.uri
http://creativecommons.org/licenses/by-nc-nd/4.0/
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dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Caputo fractional derivative
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dc.subject.other
Direct problem
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dc.subject.other
Heat equation
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dc.subject.other
Positive operator
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dc.subject.other
Source inverse problem
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dc.subject.other
Well-posedness
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dc.title
Heat source determining inverse problem for nonlocal in time equation
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dc.type
info:eu-repo/semantics/article
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dc.description.version
info:eu-repo/semantics/acceptedVersion
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dc.identifier.doi
10.1002/mma.10409
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dc.rights.accessLevel
info:eu-repo/semantics/openAccess
