\(C^m\) approximation of functions by solutions of second-order elliptic systems on compact sets in the plane
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Publication:1798063
DOI10.1134/S0081543818040016zbMath1401.30036OpenAlexW4249165585MaRDI QIDQ1798063
A. O. Bagapsh, Konstantin Yu. Fedorovskiy
Publication date: 23 October 2018
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0081543818040016
Approximation in the complex plane (30E10) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15)
Related Items (3)
Uniform approximation by polynomial solutions of elliptic systems on boundaries of Carathéodory domains in \(\mathbb{R}^2\) ⋮ A class of distributed order semilinear equationsin Banach spaces ⋮ THE DIRICHLET PROBLEM FOR AN ORDINARY DIFFERENTIAL EQUATION OF THE SECOND ORDER WITH THE OPERATOR OF DISTRIBUTED DIFFERENTIATION
Cites Work
- \(C^ m\) approximation by solutions of elliptic equations, and Calderón-Zygmund operators
- \(C^1\) approximation of functions by solutions of second-order elliptic systems on compact sets in \(\mathbb{R}^2\)
- BMO and Lipschitz approximation by solutions of elliptic equations
- A criterion for uniform approximability on arbitrary compact sets for solutions of elliptic equations
- Uniform and $ C^1$-approximability of functions on compact subsets of $ \mathbb R^2$ by solutions of second-order elliptic equations
- Uniform approximations by bianalytic functions on arbitrary compact subsets of $ \mathbb C$
- Conditions for $ C^m$-approximability of functions by solutions of elliptic equations
- Two problems on approximation by solutions of elliptic systems on compact sets in the plane
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