On the optimal reconstruction of a solution of the Poisson equation

DOI10.1134/S0012266114010066zbMath1294.35180OpenAlexW2068914355WikidataQ115251897 ScholiaQ115251897MaRDI QIDQ2251826

E. A. Balova

Publication date: 15 July 2014

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266114010066

zbMATH Keywords

Poisson equationoptimal reconstructionfuzzy right-hand sides

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fuzzy partial differential equations (35R13) PDEs in connection with control and optimization (35Q93)

Cites Work

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• On optimal harmonic synthesis from inaccurate spectral data
• Optimal reconstruction of the solution of the Dirichlet problem from inaccurate input data
• Optimal recovery of functions and their derivatives from inaccurate information about the spectrum and inequalities for derivatives
• Optimal recovery of functions and their derivatives from Fourier coefficients prescribed with an error

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