Standard

Cm Approximation of Functions by Solutions of Second-Order Elliptic Systems on Compact Sets in the Plane. / Bagapsh, A. O.; Fedorovskiy, K. Yu.

In: Proceedings of the Steklov Institute of Mathematics, Vol. 301, No. 1, 01.05.2018.

Research output: Contribution to journal › Article › peer-review

Harvard

Bagapsh, AO & Fedorovskiy, KY 2018, 'Cm Approximation of Functions by Solutions of Second-Order Elliptic Systems on Compact Sets in the Plane', Proceedings of the Steklov Institute of Mathematics, vol. 301, no. 1. https://doi.org/10.1134/S0081543818040016

APA

Bagapsh, A. O., & Fedorovskiy, K. Y. (2018). Cm Approximation of Functions by Solutions of Second-Order Elliptic Systems on Compact Sets in the Plane. Proceedings of the Steklov Institute of Mathematics, 301(1). https://doi.org/10.1134/S0081543818040016

Vancouver

Bagapsh AO, Fedorovskiy KY. Cm Approximation of Functions by Solutions of Second-Order Elliptic Systems on Compact Sets in the Plane. Proceedings of the Steklov Institute of Mathematics. 2018 May 1;301(1). https://doi.org/10.1134/S0081543818040016

Author

Bagapsh, A. O. ; Fedorovskiy, K. Yu. / Cm Approximation of Functions by Solutions of Second-Order Elliptic Systems on Compact Sets in the Plane. In: Proceedings of the Steklov Institute of Mathematics. 2018 ; Vol. 301, No. 1.

BibTeX

@article{6ea1d5ee2db44848a356d4dbf969c8d5,
title = "Cm Approximation of Functions by Solutions of Second-Order Elliptic Systems on Compact Sets in the Plane",
abstract = "This paper is a brief survey of the recent results in problems of approximating functions by solutions of homogeneous elliptic systems of PDEs on compact sets in the plane in the norms of Cm spaces, m ≥ 0. We focus on general second-order systems. For such systems the paper complements the recent survey by M. Mazalov, P. Paramonov, and K. Fedorovskiy (2012), where the problems of Cm approximation of functions by holomorphic, harmonic, and polyanalytic functions as well as by solutions of homogeneous elliptic PDEs with constant complex coefficients were considered.",
author = "Bagapsh, {A. O.} and Fedorovskiy, {K. Yu}",
note = "Publisher Copyright: {\textcopyright} 2018, Pleiades Publishing, Ltd.",
year = "2018",
month = may,
day = "1",
doi = "10.1134/S0081543818040016",
language = "English",
volume = "301",
journal = "Proceedings of the Steklov Institute of Mathematics",
issn = "0081-5438",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "1",

}

RIS

TY - JOUR

T1 - Cm Approximation of Functions by Solutions of Second-Order Elliptic Systems on Compact Sets in the Plane

AU - Bagapsh, A. O.

AU - Fedorovskiy, K. Yu

N1 - Publisher Copyright: © 2018, Pleiades Publishing, Ltd.

PY - 2018/5/1

Y1 - 2018/5/1

N2 - This paper is a brief survey of the recent results in problems of approximating functions by solutions of homogeneous elliptic systems of PDEs on compact sets in the plane in the norms of Cm spaces, m ≥ 0. We focus on general second-order systems. For such systems the paper complements the recent survey by M. Mazalov, P. Paramonov, and K. Fedorovskiy (2012), where the problems of Cm approximation of functions by holomorphic, harmonic, and polyanalytic functions as well as by solutions of homogeneous elliptic PDEs with constant complex coefficients were considered.

AB - This paper is a brief survey of the recent results in problems of approximating functions by solutions of homogeneous elliptic systems of PDEs on compact sets in the plane in the norms of Cm spaces, m ≥ 0. We focus on general second-order systems. For such systems the paper complements the recent survey by M. Mazalov, P. Paramonov, and K. Fedorovskiy (2012), where the problems of Cm approximation of functions by holomorphic, harmonic, and polyanalytic functions as well as by solutions of homogeneous elliptic PDEs with constant complex coefficients were considered.

UR - http://www.scopus.com/inward/record.url?scp=85051676841&partnerID=8YFLogxK

U2 - 10.1134/S0081543818040016

DO - 10.1134/S0081543818040016

M3 - Article

AN - SCOPUS:85051676841

VL - 301

JO - Proceedings of the Steklov Institute of Mathematics

JF - Proceedings of the Steklov Institute of Mathematics

SN - 0081-5438

IS - 1

ER -

ID: 86668831