Abstract
We consider the optimal recovery problem for the solution of the Dirichlet problem for the Laplace equation in the unit d-dimensional ball on a sphere of radius ρ from a finite collection of inaccurately specified Fourier coefficients of the solution on a sphere of radius r, 0 < r < ρ < 1. The methods are required to be exact on certain subspaces of spherical harmonics.
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Original Russian Text © E. A. Balova, K. Yu. Osipenko, 2018, published in Matematicheskie Zametki, 2018, Vol. 104, No. 6, pp. 803–811.
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Balova, E.A., Osipenko, K.Y. Optimal Recovery Methods for Solutions of the Dirichlet Problem that are Exact on Subspaces of Spherical Harmonics. Math Notes 104, 781–788 (2018). https://doi.org/10.1134/S0001434618110238
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DOI: https://doi.org/10.1134/S0001434618110238