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Two problems on approximation by solutions of elliptic systems on compact sets in the plane. / Fedorovskiy, K. Yu.

In: Complex Variables and Elliptic Equations, Vol. 63, No. 7-8, 03.08.2018, p. 961-975.

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Fedorovskiy, K. Yu. / Two problems on approximation by solutions of elliptic systems on compact sets in the plane. In: Complex Variables and Elliptic Equations. 2018 ; Vol. 63, No. 7-8. pp. 961-975.

BibTeX

@article{42d31229c9d040adb2dcb8ab1cc6b7d0,
title = "Two problems on approximation by solutions of elliptic systems on compact sets in the plane",
abstract = "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.",
keywords = "-approximation, Primary: 30E10, Second-order elliptic system, Secondary: 35J47, uniform approximation",
author = "Fedorovskiy, {K. Yu}",
note = "Publisher Copyright: {\textcopyright} 2018, {\textcopyright} 2018 Informa UK Limited, trading as Taylor & Francis Group.",
year = "2018",
month = aug,
day = "3",
doi = "10.1080/17476933.2018.1427083",
language = "English",
volume = "63",
pages = "961--975",
journal = "Complex Variables and Elliptic Equations",
issn = "1747-6933",
publisher = "Taylor & Francis",
number = "7-8",

}

RIS

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