Recovery of the solution of the singular heat equation from measurement data

DOI10.1007/s40590-023-00513-3zbMath1518.35460OpenAlexW4377693520MaRDI QIDQ6168174

M. V. Polovinkina, I. P. Polovinkin

Publication date: 10 July 2023

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-023-00513-3

zbMATH Keywords

Bessel operatorsingular heat equationoptimal recovery method

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Fractional derivatives and integrals (26A33) Initial value problems for second-order parabolic equations (35K15) Other transforms and operators of Fourier type (43A32) Singular parabolic equations (35K67)

Cites Work

• Functional differential parabolic equations: integral transformations and qualitative properties of solutions of the Cauchy problem
• Recovery of the operator \(\Delta_B\) from its incomplete Fourier-Bessel image
• Optimal recovery of the solution of the heat equation from inaccurate data
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