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Contemporary Mathematics. Fundamental Directions, 2024, Volume 70, Issue 1, Pages 173–187
DOI: https://doi.org/10.22363/2413-3639-2024-70-1-173-187 (Mi cmfd535) 		 
On recovery of the solution to the Cauchy problem for the singular heat equation

S. M. Sitnika, M. V. Polovinkinab, I. P. Polovinkinca

a Belgorod State National Research University (BelGU), Belgorod, Russia
b Voronezh State University of Engineering Technologies, Voronezh, Russia
c Voronezh State University, Voronezh, Russia
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DOI: https://doi.org/10.22363/2413-3639-2024-70-1-173-187
Abstract: We present the results related to the solution of the problem of the best recovery of the solution to the Cauchy problem for the heat equation with the B-elliptic Laplace–Bessel operator in spatial variables from an exactly or approximately known finite set of temperature profiles.
Keywords: Laplace–Bessel operator, optimal recovery, Fourier–Bessel transform, heat equation, singular equation.
English version:
Journal of Mathematical Sciences, 2024, Volume 286, Issue 1, Pages 158–171
DOI: https://doi.org/10.1007/s10958-024-07496-0
Bibliographic databases:
Document Type: Article
UDC: 517.444, 517.957.7, 517.951.9, 51-7
Language: Russian
Citation: S. M. Sitnik, M. V. Polovinkina, I. P. Polovinkin, “On recovery of the solution to the Cauchy problem for the singular heat equation”, Functional spaces. Differential operators. Problems of mathematics education, CMFD, 70, no. 1, PFUR, M., 2024, 173–187; Journal of Mathematical Sciences, 286:1 (2024), 158–171
Citation in format AMSBIB
\Bibitem{SitPolPol24}
\by S.~M.~Sitnik, M.~V.~Polovinkina, I.~P.~Polovinkin
\paper On recovery of the solution to the Cauchy problem for the singular heat equation
\inbook Functional spaces. Differential operators. Problems of mathematics education
\serial CMFD
\yr 2024
\vol 70
\issue 1
\pages 173--187
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd535}
\crossref{https://doi.org/10.22363/2413-3639-2024-70-1-173-187}
\edn{https://elibrary.ru/XLJEFP}
\transl
\jour Journal of Mathematical Sciences
\yr 2024
\vol 286
\issue 1
\pages 158--171
\crossref{https://doi.org/10.1007/s10958-024-07496-0}
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