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 language | English |
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Pages (from-to) | 62-75 |
Number of pages | 14 |
Journal | Nonlinear Analysis, Theory, Methods and Applications |
Volume | 157 |
DOIs | |
Publication status | Published - 2017 Jul 1 |
Keywords
- Hartree type fractional NLS
- Inverse square potential
- Short-range interaction
- Small data scattering
ASJC Scopus subject areas
- Analysis
- Applied Mathematics