Estimation of the Sobolev embedding constant on domains with minimally smooth boundary
Analysis of PDEs
2015-06-11 v2 Differential Geometry
Functional Analysis
Abstract
In this paper, we propose a method for estimating the Sobolev type embedding constant on a domain with minimally smooth boundary. We estimate the embedding constant by constructing an extension operator and computing its operator norm. We also present some examples of estimating the embedding constant for certain domains.
Keywords
Cite
@article{arxiv.1411.6116,
title = {Estimation of the Sobolev embedding constant on domains with minimally smooth boundary},
author = {Kazuaki Tanaka and Kouta Sekine and Makoto Mizuguchi and Shin'ichi Oishi},
journal= {arXiv preprint arXiv:1411.6116},
year = {2015}
}
Comments
22 pages, 5 figures