Approximation in Sobolev spaces by piecewise affine interpolation
Functional Analysis
2014-11-11 v1 Analysis of PDEs
Abstract
Functions in a Sobolev space are approximated directly by piecewise affine interpolation in the norm of the space. The proof is based on estimates for interpolations and does not rely on the density of smooth functions.
Cite
@article{arxiv.1312.5986,
title = {Approximation in Sobolev spaces by piecewise affine interpolation},
author = {Jean Van Schaftingen},
journal= {arXiv preprint arXiv:1312.5986},
year = {2014}
}
Comments
6 pages