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Solvability Analysis of Problems of Determining External Influence of Combined Type in Processes Described by Parabolic Equations Full article

Journal Journal of Applied and Industrial Mathematics
ISSN: 1990-4789 , E-ISSN: 1990-4797
Output data Year: 2024, Volume: 18, Number: 2, Pages: 282-293 Pages count : 12 DOI: 10.1134/s1990478924020108
Tags parabolic equation, inverse problem, unknown external influence, regular solution, existence, uniqueness
Authors Kozhanov A.I. 1,2 , Namsaraeva G.V. 3
Affiliations
1 Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences
2 Dorji Banzarov Buryat State University
3 East Siberian State University of Technology and Management

Funding (1)

1 Russian Science Foundation 23-21-00082

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.
Cite: Kozhanov A.I. , Namsaraeva G.V.
Solvability Analysis of Problems of Determining External Influence of Combined Type in Processes Described by Parabolic Equations
Journal of Applied and Industrial Mathematics. 2024. V.18. N2. P.282-293. DOI: 10.1134/s1990478924020108 Scopus РИНЦ OpenAlex
Original: Кожанов А.И. , Намсараева Г.В.
Исследование разрешимости задач определения внешнего воздействия комбинированного типа в процессах, описываемых параболическими уравнениями
Сибирский журнал индустриальной математики. 2024. Т.27. №2. С.66–79. DOI: 10.33048/SIBJIM.2024.27.205 РИНЦ
Dates:
Submitted: Feb 22, 2024
Accepted: May 22, 2024
Published print: Aug 15, 2024
Published online: Aug 15, 2024
Identifiers:
Scopus: 2-s2.0-85201376988
Elibrary: 68611705
OpenAlex: W4401604326
Citing: Пока нет цитирований
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