Approximation of functions on a compact set by solutions of elliptic equations. Quantitative results
Analysis of PDEs
2023-07-24 v1 Classical Analysis and ODEs
Abstract
We establish that a generalized H\"{o}lder continuous function on an -Ahlfors regular compact set in can be approximated by solutions of an elliptic equation, with the rate of approximation determined by the continuity modulus of the function.
Keywords
Cite
@article{arxiv.2307.11219,
title = {Approximation of functions on a compact set by solutions of elliptic equations. Quantitative results},
author = {Grigori Rozenblum and Nikolai Shirokov},
journal= {arXiv preprint arXiv:2307.11219},
year = {2023}
}