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Sibirskii Zhurnal Industrial'noi Matematiki, 2024, Volume 27, Number 2, Pages 66–79
DOI: https://doi.org/10.33048/SIBJIM.2024.27.205 (Mi sjim1281) 		 
Solvability analysis of problems of determining external influence of combined type in processes described by parabolic equations

A. I. Kozhanovab, G. V. Namsaraevac

a Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia
b Dorji Banzarov Buryat State University, Ulan-Ude, 670000 Russia
c East Siberian State University of Technology and Management, Ulan-Ude, 670013 Russia
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DOI: https://doi.org/10.33048/SIBJIM.2024.27.205
Abstract: The aim of this paper is to study the solvability of inverse problems of determining, together with the solution of the heat equation, its right-hand side or an unknown external influence. The specific feature of the problems studied is that the unknown external influence is determined by two functions of which one depends only on the spatial variable and the other, only on the time variable.
Keywords: parabolic equation, inverse problem, unknown external influence, regular solution, existence, uniqueness.
Funding agency Grant number
Russian Science Foundation 23–21–00082
Received: 22.02.2024
Revised: 07.03.2024
Accepted: 22.05.2024
English version:
Journal of Applied and Industrial Mathematics, 2024, Volume 18, Issue 2, Pages 282–293
DOI: https://doi.org/10.1134/S1990478924020108
Document Type: Article
UDC: 517.95
Language: Russian
Citation: A. I. Kozhanov, G. V. Namsaraeva, “Solvability analysis of problems of determining external influence of combined type in processes described by parabolic equations”, Sib. Zh. Ind. Mat., 27:2 (2024), 66–79; J. Appl. Industr. Math., 18:2 (2024), 282–293
Citation in format AMSBIB
\Bibitem{KozNam24}
\by A.~I.~Kozhanov, G.~V.~Namsaraeva
\paper Solvability analysis of problems of determining external influence of combined type in processes described by parabolic equations
\jour Sib. Zh. Ind. Mat.
\yr 2024
\vol 27
\issue 2
\pages 66--79
\mathnet{http://mi.mathnet.ru/sjim1281}
\crossref{https://doi.org/10.33048/SIBJIM.2024.27.205}
\transl
\jour J. Appl. Industr. Math.
\yr 2024
\vol 18
\issue 2
\pages 282--293
\crossref{https://doi.org/10.1134/S1990478924020108}
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    		Сибирский журнал индустриальной математики
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