On fractional powers of singular perturbations of the laplacian

Vladimir Georgiev, Alessandro Michelangeli, Raffaele Scandone

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
JournalUnknown Journal
Publication statusPublished - 2017 Oct 16

Keywords

  • Point interactions. Singular perturbations of the Laplacian. Regular and singular component of a point-interaction operator

ASJC Scopus subject areas

  • General

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