Linear inverse problems for the heat equation and non-local boundary value problems with generalized Samarskii–Ionkin condition Full article
| Journal |
Boletín de la Sociedad Matemática Mexicana
ISSN: 1405-213X |
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| Output data | Year: 2023, Volume: 29, Number: 3, Article number : 64, Pages count : 16 DOI: 10.1007/s40590-023-00529-9 | ||||
| Tags | Heat equation · Linear inverse problems · Generalized Samarskii–Ionkin condition · Regular solutions · Existence and uniqueness | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0008 |
Abstract:
The paper is devoted to the study of the solvability of linear inverse problems for a onedimensional heat equation with an unknown right-hand side. The aim of the work is to obtain theorems of the existence and uniqueness of regular solutions (i.e., solutions having all weak derivatives in the sense of Sobolev occurring in the equation) The proofs will essentially use new results on the solvability of nonlocal problems with a generalized Samarskii–Ionkin boundary condition.
Cite:
Kozhanov A.I.
, Shipina T.N.
Linear inverse problems for the heat equation and non-local boundary value problems with generalized Samarskii–Ionkin condition
Boletín de la Sociedad Matemática Mexicana. 2023. V.29. N3. 64 :1-16. DOI: 10.1007/s40590-023-00529-9 WOS Scopus РИНЦ OpenAlex
Linear inverse problems for the heat equation and non-local boundary value problems with generalized Samarskii–Ionkin condition
Boletín de la Sociedad Matemática Mexicana. 2023. V.29. N3. 64 :1-16. DOI: 10.1007/s40590-023-00529-9 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Jan 2, 2023 |
| Accepted: | Jun 20, 2023 |
| Published print: | Aug 24, 2023 |
| Published online: | Aug 24, 2023 |
Identifiers:
| Web of science: | WOS:001054519900001 |
| Scopus: | 2-s2.0-85168578327 |
| Elibrary: | 62834224 |
| OpenAlex: | W4386139083 |
Citing:
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