On the coefficient inverse problem of heat conduction in a degenerating domain |
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| Authors: | Muvasharkhan Jenaliyev Murat Ramazanov Madi Yergaliyev |
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| Affiliation: | 1. Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstanmuvasharkhan@gmail.com!["ORCID]("//:0" "\"ORCID") https://orcid.org/0000-0001-8743-7026;3. Faculty of Mathematics and Information Technology, E.A. Buketov Karaganda State University, Karaganda, Kazakhstan;4. Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan;5. al-Farabi Kazakh National University, Department of Mechanics and Mathematics, Almaty, Kazakhstan |
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| Abstract: | ABSTRACTIn the paper, we consider a coefficient inverse problem for the heat equation in a degenerating angular domain. It has been shown that the inverse problem for the homogeneous heat equation with homogeneous boundary conditions has a nontrivial solution up to a constant factor consistent with the integral condition. Moreover, the solution of the considered inverse problem is found in explicit form. In conclusion, statements of possible generalizations and the results of numerical calculations are given. |
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| Keywords: | Michael Klibanov |
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!["ORCID]({"type":"image","src":"/templates/jsp/images/orcid.png"} "\"ORCID")
https://orcid.org/0000-0001-8743-7026;3. Faculty of Mathematics and Information Technology, E.A. Buketov Karaganda State University, Karaganda, Kazakhstan;4. Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan;5. al-Farabi Kazakh National University, Department of Mechanics and Mathematics, Almaty, Kazakhstan