Boundary values of analytic semigroups generated by fractional Laplacians

IF 0.5 4区数学 Q3 MATHEMATICS

Archiv der Mathematik Pub Date : 2024-05-13 DOI:10.1007/s00013-024-02004-x

Chung-Sik Sin

引用次数: 0

Abstract

In the present paper, using the theory of boundary values of analytic semigroups, we find necessary and sufficient conditions to guarantee that the operator \(i(-\Delta )^{{\alpha }/{2}}\) generates a strongly continuous semigroup in \(L^p(\mathbb {R}^n)\).

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分数拉普拉斯生成的解析半群的边界值

本文利用解析半群的边界值理论，找到了保证算子 \(i(-\Delta )^{{\alpha }/{2}}\) 在 \(L^p(\mathbb {R}^n)\) 中产生强连续半群的必要条件和充分条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Archiv der Mathematik 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

117

审稿时长

4-8 weeks

期刊介绍： Archiv der Mathematik (AdM) publishes short high quality research papers in every area of mathematics which are not overly technical in nature and addressed to a broad readership.