TY - JOUR
T1 - Short-range scattering of Hartree type fractional NLS II
AU - Cho, Yonggeun
AU - Ozawa, Tohru
N1 - Funding Information:
Y. Cho was supported by NRF-2015R1D1A1A09057795 (Republic of Korea).
Publisher Copyright:
© 2017
Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2017/7/1
Y1 - 2017/7/1
N2 - 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).
AB - 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).
KW - Hartree type fractional NLS
KW - Inverse square potential
KW - Short-range interaction
KW - Small data scattering
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U2 - 10.1016/j.na.2017.03.005
DO - 10.1016/j.na.2017.03.005
M3 - Article
AN - SCOPUS:85017120946
SN - 0362-546X
VL - 157
SP - 62
EP - 75
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
ER -