Geodesic
Uniform approximation of functions by solutions of strongly elliptic equations of second order on compact subsets of~$\mathbb R^2$
Sbornik. Mathematics, Tome 212 (2021) no. 12, pp. 1730-1745

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Criteria for the uniform approximation of functions by solutions of second-order strongly elliptic equations on compact subsets of $\mathbb R^2$ are obtained using the method of reduction to similar problems in $\mathbb R^3$, which were previously investigated by Mazalov. A number of metric properties of the capacities used are established. Bibliography: 16 titles.
Keywords: uniform approximation, strongly elliptic equations of second order, Vitushkin-type localization operator, $L$-capacity, method of reduction.
Mots-clés : $L$-oscillation 
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     author = {P. V. Paramonov},
     title = {Uniform approximation of functions by solutions of strongly elliptic equations of second order on compact subsets of~$\mathbb R^2$},
     journal = {Sbornik. Mathematics},
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P. V. Paramonov. Uniform approximation of functions by solutions of strongly elliptic equations of second order on compact subsets of~$\mathbb R^2$. Sbornik. Mathematics, Tome 212 (2021) no. 12, pp. 1730-1745. http://geodesic.mathdoc.fr/item/SM_2021_212_12_a3/