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Two problems on approximation by solutions of elliptic systems on compact sets in the plane. / Fedorovskiy, K. Yu.
в: Complex Variables and Elliptic Equations, Том 63, № 7-8, 03.08.2018, стр. 961-975.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Two problems on approximation by solutions of elliptic systems on compact sets in the plane
AU - Fedorovskiy, K. Yu
N1 - Publisher Copyright: © 2018, © 2018 Informa UK Limited, trading as Taylor & Francis Group.
PY - 2018/8/3
Y1 - 2018/8/3
N2 - Motivated by recent results by M. Mazalov about uniform approximation of functions by solutions of elliptic equations with constant complex coefficients we study two problems on approximation of functions by solutions of general homogeneous elliptic second-order systems of partial differential equations. The approximation is considered in spaces of continuous and C1 -functions on compact sets in the complex plane.
AB - Motivated by recent results by M. Mazalov about uniform approximation of functions by solutions of elliptic equations with constant complex coefficients we study two problems on approximation of functions by solutions of general homogeneous elliptic second-order systems of partial differential equations. The approximation is considered in spaces of continuous and C1 -functions on compact sets in the complex plane.
KW - -approximation
KW - Primary: 30E10
KW - Second-order elliptic system
KW - Secondary: 35J47
KW - uniform approximation
UR - http://www.scopus.com/inward/record.url?scp=85041012762&partnerID=8YFLogxK
U2 - 10.1080/17476933.2018.1427083
DO - 10.1080/17476933.2018.1427083
M3 - Article
AN - SCOPUS:85041012762
VL - 63
SP - 961
EP - 975
JO - Complex Variables and Elliptic Equations
JF - Complex Variables and Elliptic Equations
SN - 1747-6933
IS - 7-8
ER -
ID: 86669025