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arXiv · 1411.6116

Estimation of the Sobolev embedding constant on domains with minimally smooth boundary

Kazuaki Tanaka·Kouta Sekine·Makoto Mizuguchi·Shin'ichi Oishi
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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.

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Kazuaki Tanaka, Kouta Sekine, Makoto Mizuguchi, Shin'ichi Oishi. 2014-11-22. Estimation of the Sobolev embedding constant on domains with minimally smooth boundary. https://arxiv.org/abs/1411.6116

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