On Recovery of the Solution to the Cauchy Problem for the Singular Heat Equation

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.

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2024, Vol.286 (1), p.158-171
Main Authors: Sitnik, S. M., Polovinkina, M. V., Polovinkin, I. P.
Format: Article
Language:English
Subjects:
Cauchy problems
Mathematics
Mathematics and Statistics
Recovery
Temperature profiles
Thermodynamics
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Description
Summary: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.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-024-07496-0