Geodesic
On recovery of the solution to the Cauchy problem for the singular heat equation
Contemporary Mathematics. Fundamental Directions, Functional spaces. Differential operators. Problems of mathematics education, Tome 70 (2024) no. 1, pp. 173-187

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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, heat equation, singular equation.
Mots-clés : Fourier–Bessel transform 
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     title = {On recovery of the solution to the {Cauchy} problem for the singular heat equation},
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S. M. Sitnik; M. V. Polovinkina; I. P. Polovinkin. On recovery of the solution to the Cauchy problem for the singular heat equation. Contemporary Mathematics. Fundamental Directions, Functional spaces. Differential operators. Problems of mathematics education, Tome 70 (2024) no. 1, pp. 173-187. http://geodesic.mathdoc.fr/item/CMFD_2024_70_1_a10/