A Berezin-Li-Yau type inequality for the fractional Laplacian on a bounded domain

An improvement to a Berezin-Li-Yau type inequality for \((-\Delta)^{\alpha/2}|_{\Omega},\) the fractional Laplacian operators restriced to a bounded domain \(\Omega\subset \mathbb{R}^d\) for \(\alpha\in(0,2],\) \(d\ge 2,\) is proved.

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Bibliographic Details
Published inarXiv.org
Main Authors Selma Yildirim Yolcu, Turkay Yolcu
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 17.12.2013
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Summary:An improvement to a Berezin-Li-Yau type inequality for \((-\Delta)^{\alpha/2}|_{\Omega},\) the fractional Laplacian operators restriced to a bounded domain \(\Omega\subset \mathbb{R}^d\) for \(\alpha\in(0,2],\) \(d\ge 2,\) is proved.
ISSN:2331-8422