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Journal of Automation and Information Sciences
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN Imprimir: 1064-2315
ISSN En Línea: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v33.i10.30
18 pages

Minimax Estimation of Solutions of Neumann Boundary-Value Problems for Elliptical Equations in Uncertainty Conditions

Alex. Kovalyuk
ASA College of Modern Computer Technologies, New York, USA
Alexander G. Nakonechnyi
Kiev National Taras Shevchenko University, Kiev
Yuriy K. Podlipenko
Kyiv National Taras Shevchenko University, Kyiv, Ukraine


We consider the systems which are described by Neumann boundary-value problems for elliptical equations of the second order in partial derivatives for which it is only known that their right-sides as well as boundary conditions belong to some set. By noisy observations of solutions and their conormal derivatives on the finite system of the surfaces, belonging to the given domain, we find minimax estimations for the functionals of solutions of the considered boundary-value problems.

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