Best recovery of the Laplace operator of a function and sharp inequalities

DOI10.1007/s10958-015-2490-6zbMath1344.42023OpenAlexW1614632135MaRDI QIDQ267601

E. O. Sivkova

Publication date: 11 April 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-015-2490-6

zbMATH Keywords

Fourier transformfractional powersLaplace operatorrecovery results

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Harmonic analysis in several variables (42B99) Fractional partial differential equations (35R11) Harmonic analysis and PDEs (42B37)

Related Items (2)

Optimal recovery in weighted spaces with homogeneous weights ⋮ Inequalities for derivatives with the Fourier transform

Cites Work

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• Best recovery of the Laplace operator of a function from incomplete spectral data
• Kolmogorov-type inequalities for derivatives
• Optimal recovery of values of functions and their derivatives from inaccurate data on the Fourier transform

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