On fractional powers of singular perturbations of the Laplacian

Vladimir Georgiev, Alessandro Michelangeli, Raffaele Scandone

研究成果: Article査読

4 被引用数 (Scopus)

抄録

We qualify a relevant range of fractional powers of the so-called Hamiltonian of point interaction in three dimensions, namely the singular perturbation of the negative Laplacian with a contact interaction supported at the origin. In particular we provide an explicit control of the domain of such a fractional operator and of its decomposition into regular and singular parts. We also qualify the norms of the resulting singular fractional Sobolev spaces and their mutual control with the corresponding classical Sobolev norms.

本文言語English
ページ(範囲)1551-1602
ページ数52
ジャーナルJournal of Functional Analysis
275
6
DOI
出版ステータスPublished - 2018 9 15

ASJC Scopus subject areas

  • 分析

フィンガープリント

「On fractional powers of singular perturbations of the Laplacian」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル