Short-range scattering of Hartree type fractional NLS II

Yonggeun Cho, Tohru Ozawa

    Research output: Contribution to journal › Article

    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

    Fingerprint

    Fractional
    Leibniz' rule
    Scattering
    Weighted Spaces
    Range of data
    Line
    Estimate

    Keywords

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

    ASJC Scopus subject areas

    • Analysis
    • Applied Mathematics

    Cite this

    Short-range scattering of Hartree type fractional NLS II. / Cho, Yonggeun; Ozawa, Tohru.

    In: Nonlinear Analysis, Theory, Methods and Applications, Vol. 157, 01.07.2017, p. 62-75.

    Research output: Contribution to journal › Article

    Cho, Y & Ozawa, T 2017, 'Short-range scattering of Hartree type fractional NLS II', Nonlinear Analysis, Theory, Methods and Applications, vol. 157, pp. 62-75. https://doi.org/10.1016/j.na.2017.03.005
    Cho Y, Ozawa T. Short-range scattering of Hartree type fractional NLS II. Nonlinear Analysis, Theory, Methods and Applications. 2017 Jul 1;157:62-75. https://doi.org/10.1016/j.na.2017.03.005
    Cho, Yonggeun ; Ozawa, Tohru. / Short-range scattering of Hartree type fractional NLS II. In: Nonlinear Analysis, Theory, Methods and Applications. 2017 ; Vol. 157. pp. 62-75.
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