https://orcid.org/0000-0001-8743-7026
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ABSTRACT
In 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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Disclosure statement
No potential conflict of interest was reported by the authors.
ORCID
Muvasharkhan Jenaliyev http://orcid.org/0000-0001-8743-7026
Additional information
Funding
Supported by the grant projects AP05130928 (2018–2020), AP05132262 (2018–2020) and by the target program BR05236693 (2018–2020) from the Committee of Science of the Ministry of Education and Science of the Republic of Kazakhstan.