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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
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.
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
Linking options:
https://www.mathnet.ru/eng/cmfd535 https://www.mathnet.ru/eng/cmfd/v70/i1/p173
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Statistics & downloads: |
Abstract page: | 26 | Full-text PDF : | 17 | References: | 6 |
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