Uniform approximation of functions by solutions of strongly elliptic equations of second order on compact subsets of R-2

Uniform approximation of functions by solutions of strongly elliptic equations of second order on compact subsets of R-2

Criteria for the uniform approximation of functions by solutions of second-order strongly elliptic equations on compact subsets of R-2 are obtained using the method of reduction to similar problems in R-3, which were previously investigated by Mazalov. A number of metric properties of the capacities...

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Veröffentlicht in:Sbornik. Mathematics 2021-12, Vol.212 (12), p.1730-1745
1. Verfasser: Paramonov, P.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Physical Sciences
Science & Technology
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Zusammenfassung:Criteria for the uniform approximation of functions by solutions of second-order strongly elliptic equations on compact subsets of R-2 are obtained using the method of reduction to similar problems in R-3, which were previously investigated by Mazalov. A number of metric properties of the capacities used are established.
ISSN:1064-5616
1468-4802
DOI:10.1070/SM9503