Email this article Cm Approximation of Functions by Solutions of Second-Order Elliptic Systems on Compact Sets in the Plane
- Authors: Bagapsh A.O.1,2, Fedorovskiy K.Y.1,3
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Affiliations:
- Bauman Moscow State Technical University
- Dorodnicyn Computing Centre, Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences
- Mathematics and Mechanics Faculty
- Issue: Vol 301, No 1 (2018)
- Pages: 1-10
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175537
- DOI: https://doi.org/10.1134/S0081543818040016
- ID: 175537
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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.
About the authors
A. O. Bagapsh
Bauman Moscow State Technical University; Dorodnicyn Computing Centre, Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences
Author for correspondence.
Email: a.bagapsh@gmail.com
Russian Federation, Vtoraya Baumanskaya ul. 5/1, Moscow, 105005; ul. Vavilova 40, Moscow, 119333
K. Yu. Fedorovskiy
Bauman Moscow State Technical University; Mathematics and Mechanics Faculty
Email: a.bagapsh@gmail.com
Russian Federation, Vtoraya Baumanskaya ul. 5/1, Moscow, 105005; Universitetskii pr. 28, Peterhof, St. Petersburg, 198504
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