Heat source determining inverse problem for nonlocal in time equation
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.
Authors
- Daurenbek Serikbaev (ORCID: https://orcid.org/0000-0002-3709-6769)
- Michael Ruzhansky (ORCID: https://orcid.org/0000-0001-8633-5570)
- Niyaz Tokmagambetov (ORCID: https://orcid.org/0000-0001-5725-9740)
Institutions
- Queen Mary University of London (GB)
- Ghent University (BE)
- Centre de Recerca Matemàtica (ES)
- Institute of Mathematics and Mathematical Modeling (KZ)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2024-08-15
- DOI
- https://doi.org/10.1002/mma.10409
- Citations
- 2
- Primary Topic
- Numerical methods in inverse problems
- Type
- article
- Field-Weighted Citation Impact
- 1.78
Funders
- Generalitat de Catalunya
- Fonds Wetenschappelijk Onderzoek
- Universiteit Gent
- Engineering and Physical Sciences Research Council
- Agència de Gestió d'Ajuts Universitaris i de Recerca
- Bijzonder Onderzoeksfonds UGent