On fractional powers of singular perturbations of the Laplacian

Vladimir Simeonov Gueorguiev, Alessandro Michelangeli, Raffaele Scandone

    研究成果: Article

    4 引用 (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.

    元の言語English
    ジャーナルJournal of Functional Analysis
    DOI
    出版物ステータスAccepted/In press - 2018 1 1

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    Fractional Powers
    Singular Perturbation
    Fractional
    Norm
    Point Interactions
    Sobolev Spaces
    Three-dimension
    Contact
    Decompose
    Operator
    Interaction
    Range of data

    ASJC Scopus subject areas

    • Analysis

    これを引用

    On fractional powers of singular perturbations of the Laplacian. / Gueorguiev, Vladimir Simeonov; Michelangeli, Alessandro; Scandone, Raffaele.

    :: Journal of Functional Analysis, 01.01.2018.

    研究成果: Article

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    AU - Scandone, Raffaele

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    KW - Singular perturbations of the Laplacian

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