Short-range scattering of Hartree type fractional NLS II. (July 2017)

• Record Type: Journal Article
• Authors: Cho, Yonggeun; Ozawa, Tohru
• Is Part Of: Nonlinear analysis. Volume 157(2017)
• Page Start: 62
• Page End: 75
• Publication Date: 2017-07
• Subjects: 35Q55 -- 35Q40; Hartree type fractional NLS -- Inverse square potential -- Short-range interaction -- Small data scattering; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2017.03.005
• Languages: English
• ISSNs: 0362-546X

Abstract

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).