Short-range scattering of Hartree type fractional NLS II

Yonggeun Cho, Tohru Ozawa

Research output: Contribution to journalArticlepeer-review

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

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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