Uniform approximation by polynomial solutions of second-order elliptic equations, and the corresponding Dirichlet problem

DOI10.1134/S0081543806020064zbMath1351.35007OpenAlexW2024707806MaRDI QIDQ2342220

A. B. Zaitsev

Publication date: 11 May 2015

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543806020064

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Second-order elliptic equations (35J15) Theoretical approximation in context of PDEs (35A35) Approximation by polynomials (41A10)

Related Items (3)

Uniform approximation by polynomial solutions of elliptic systems on boundaries of Carathéodory domains in \(\mathbb{R}^2\) ⋮ \(C^1\) approximation of functions by solutions of second-order elliptic systems on compact sets in \(\mathbb{R}^2\) ⋮ Approximation by Solutions of Elliptic Equations and Extension of Subharmonic Functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Mergelyan's approximation theorem for rational modules
• On some properties and examples of Nevanlinna domains
• Nonsymmetric systems on nonsmooth planar domains
• On uniform approximation by $ n$-analytic functions on closed sets in $ \mathbb C$
• Approximation by Solutions of Elliptic Equations on Closed Subsets of Euclidean Space.

This page was built for publication: Uniform approximation by polynomial solutions of second-order elliptic equations, and the corresponding Dirichlet problem