Uniform approximation of functions by solutions of strongly elliptic equations of second order on compact subsets of $\mathbb R^2$

P. V. Paramonov

Sbornik. Mathematics, Tome 212 (2021) no. 12, pp. 1730-1745

Résumé

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.

Détail

Keywords: uniform approximation, strongly elliptic equations of second order, Vitushkin-type localization operator, $L$-capacity, method of reduction.
Mots-clés : $L$-oscillation

Bibliographie

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