操作员(生物学)
有界函数
数学
简单(哲学)
数学焦虑
召回
领域(数学分析)
风格(视觉艺术)
计算机科学
域代数上的
牙石(牙科)
作者
Maha Daoud,El Haj Laamri
出处
期刊:Discrete and Continuous Dynamical Systems - Series S
[American Institute of Mathematical Sciences]
日期:2021-01-01
卷期号:15 (1): 95-95
被引量:4
标识
DOI:10.3934/dcdss.2021027
摘要
<p style='text-indent:20px;'>This paper describes the state of the art and gives a survey of the wide literature published in the last years on the fractional Laplacian. We will first recall some definitions of this operator in <inline-formula><tex-math id="M1">\begin{document}$ \mathbb{R}^N $\end{document}</tex-math></inline-formula> and its main properties. Then, we will introduce the four main operators often used in the case of a bounded domain; and we will give several simple and significant examples to highlight the difference between these four operators. Also we give a rather long list of references : it is certainly not exhaustive but hopefully rich enough to track most connected results. We hope that this short survey will be useful for young researchers of all ages who wish to have a quick idea of the fractional Laplacian(s).</p>
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