Short-range scattering of Hartree type fractional NLS II

Yonggeun Cho, Tohru Ozawa

    Research output: Contribution to journalArticle

    4 Citations (Scopus)

    Abstract

    We prove the small data scattering for Hartree type fractional Schrödinger equation with inverse square potential. This is the border line problem between Strichartz range and weighted space range in view of the method of approach. To show this we carry out a subtle trilinear estimate via fractional Leibniz rule and Balakrishnan's formula. This paper is a sequel of the previous result (Cho, 2017).

    Original languageEnglish
    Pages (from-to)62-75
    Number of pages14
    JournalNonlinear Analysis, Theory, Methods and Applications
    Volume157
    DOIs
    Publication statusPublished - 2017 Jul 1

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    Keywords

    • Hartree type fractional NLS
    • Inverse square potential
    • Short-range interaction
    • Small data scattering

    ASJC Scopus subject areas

    • Analysis
    • Applied Mathematics

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